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3 years ago

A

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

The other leg is 12cm long.

Step-by-step explanation:

Given,

Hypotenuse = c = 15cm

One leg = a = 9cm

Other leg = b

As the triangle is right angled, therefore, using Pythagoras theorem;

$a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\$

Taking square root on both sides;

$\sqrt{b^2} =\sqrt{144} \\b=12\ cm$

The other leg is 12cm long.

Keywords: triangle, square root

Learn more about triangles at:

#LearnwithBrainly

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