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How do you calculate the hypotenuse of a right angle triangle if the two shorter sides are 6 and 8?

As this is a right angle triangle, we need to use Pythagoras's Theorem. 

This says that the length of the longest side of a right angle triangle (the hypotenuse) is equal to the sqaure root of the sum of the squares of two other sides.

So in this case:

h = sqrt(6^2 + 8^2)

h= sqrt(36 + 64)

h = sqrt (100)

h = 10 :)

Fun fact - this is a special triangle known as a Pythagorean triple as all three sides are integers (whole numbers) 

Rebecca V. A Level Maths tutor, 13 plus  Maths tutor, GCSE Maths tuto...

8 months ago

Answered by Rebecca, a GCSE Maths tutor with MyTutor


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