What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 15 and 10?

1 Answer
Jim G.
Jan 4, 2016

sqrt 325 ≈ 18.03 (2 decimal places )

Explanation:

In this question we are making use of Pythagoras' Theorem which states that' in a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the 2 adjacent sides'

if c = hypotenuse and a and b represent the lengths of the other 2 sides:
then c^2 = a ^2 + b^2

hence c = sqrt (a^2 + b^2 )

In this question let a = 15 and b = 10

so hypotenuse = sqrt ((15^2 + 10)^2)

= sqrt (225 + 100

= sqrt 325 ≈ 18.03 ( 2 decimal places )

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