Question

In right angled triangle , If sum of the squares of the sides making right angle is 225 then What is the length of the hypotenuse?

Answer 1

Answer:

Let the right triangle be triangle ABC

As per Pythagoras Theorem,

Height^2 + Base^2 = Hypotenuse^2

AB^2 + BC^2= AC^2

AB^2 + BC^2=225 (Given)

225= AC^2

AC= $\sqrt{225}$

AC= 15cm

Hence, length of hypotenuse= AC= 15cm....

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