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;
[tex]a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\[/tex]
Taking square root on both sides;
[tex]\sqrt{b^2} =\sqrt{144} \\b=12\ cm[/tex]
The other leg is 12cm long.
Keywords: triangle, square root
Learn more about triangles at:
- brainly.com/question/5461619
- brainly.com/question/5510873
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