Height of Right Angled Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)
h = sqrt(H^2-B^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Height of Right Angled Triangle - (Measured in Meter) - The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.
Hypotenuse of Right Angled Triangle - (Measured in Meter) - The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).
Base of Right Angled Triangle - (Measured in Meter) - The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.
STEP 1: Convert Input(s) to Base Unit
Hypotenuse of Right Angled Triangle: 17 Meter --> 17 Meter No Conversion Required
Base of Right Angled Triangle: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = sqrt(H^2-B^2) --> sqrt(17^2-15^2)
Evaluating ... ...
h = 8
STEP 3: Convert Result to Output's Unit
8 Meter --> No Conversion Required
FINAL ANSWER
8 Meter <-- Height of Right Angled Triangle
(Calculation completed in 00.020 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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4 Sides of Right Angled Triangle Calculators

Hypotenuse of Right Angled Triangle
Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Height of Right Angled Triangle
Go Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)
Base of Right Angled Triangle
Go Base of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Height of Right Angled Triangle^2)
Hypotenuse of Right Angled Triangle given Circumradius
Go Hypotenuse of Right Angled Triangle = 2*Circumradius of Right Angled Triangle

14 Important Formulas of Right Angled Triangle Calculators

Median Line on Hypotenuse of Right Angled Triangle
Go Median on Hypotenuse of Right Angled Triangle = sqrt(2*(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Height of Right Angled Triangle^2-Base of Right Angled Triangle^2)/2
Inradius of Right Angled Triangle
Go Inradius of Right Angled Triangle = (Height of Right Angled Triangle+Base of Right Angled Triangle-sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
Altitude of Right Angled Triangle
Go Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Perimeter of Right Angled Triangle
Go Perimeter of Right Angled Triangle = Height of Right Angled Triangle+Base of Right Angled Triangle+sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Median Line on Height of Right Angled Triangle
Go Median on Height of Right Angled Triangle = sqrt(2*(2*Base of Right Angled Triangle^2+Height of Right Angled Triangle^2)-Height of Right Angled Triangle^2)/2
Median Line on Base of Right Angled Triangle
Go Median on Base of Right Angled Triangle = sqrt(2*(2*Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Base of Right Angled Triangle^2)/2
Perimeter of Right Angled Triangle given Hypotenuse, Circumradius and Inradius
Go Perimeter of Right Angled Triangle = 2*Inradius of Right Angled Triangle+Hypotenuse of Right Angled Triangle+2*Circumradius of Right Angled Triangle
Perimeter of Right Angled Triangle given Sides
Go Perimeter of Right Angled Triangle = Height of Right Angled Triangle+Base of Right Angled Triangle+Hypotenuse of Right Angled Triangle
Circumradius of Right Angled Triangle given Sides
Go Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
Hypotenuse of Right Angled Triangle
Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Height of Right Angled Triangle
Go Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)
Base of Right Angled Triangle
Go Base of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Height of Right Angled Triangle^2)
Area of Right Angled Triangle
Go Area of Right Angled Triangle = (Base of Right Angled Triangle*Height of Right Angled Triangle)/2
Circumradius of Right Angled Triangle
Go Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2

Height of Right Angled Triangle Formula

Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)
h = sqrt(H^2-B^2)

What is a Right Angled Triangle?

A Right triangle or Right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse.

How to Calculate Height of Right Angled Triangle?

Height of Right Angled Triangle calculator uses Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2) to calculate the Height of Right Angled Triangle, Height of Right Angled Triangle formula is defined as the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base. Height of Right Angled Triangle is denoted by h symbol.

How to calculate Height of Right Angled Triangle using this online calculator? To use this online calculator for Height of Right Angled Triangle, enter Hypotenuse of Right Angled Triangle (H) & Base of Right Angled Triangle (B) and hit the calculate button. Here is how the Height of Right Angled Triangle calculation can be explained with given input values -> 8 = sqrt(17^2-15^2).

FAQ

What is Height of Right Angled Triangle?
Height of Right Angled Triangle formula is defined as the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base and is represented as h = sqrt(H^2-B^2) or Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2). The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees) & The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.
How to calculate Height of Right Angled Triangle?
Height of Right Angled Triangle formula is defined as the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base is calculated using Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2). To calculate Height of Right Angled Triangle, you need Hypotenuse of Right Angled Triangle (H) & Base of Right Angled Triangle (B). With our tool, you need to enter the respective value for Hypotenuse of Right Angled Triangle & Base of Right Angled Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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