Question

The hypotenuse of a right triangle is 10 cm. what is the perimeter, in centimeters, of the triangle?

Answer 1

I hope it is help you
The hypotenuse of a right triangle is 10 cm. The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle? (1) The area of the triangle is 25 square centimeters. (2) The 2 legs of the triangle are of equal length.

Answer 2

Hey friend, Harish here.

Here  is your answer:

We know that,

Smallest side of right triangle = 2n

2nd smallest side of the right triangle = n² - 1 

Hypotenuse = n² + 1 

Given that,

Hypotenuse = 10cm.

n² + 1 = 10 cm  ⇒  n² = 10 - 1 = 9 cm

⇒  n = √9 = 3 .

So, 2nd largest side = n² - 1 = 9 -1 = 8 cm.

Smallest side = 2n = 2 × 3 = 6cm.

Therefore perimeter = 10 + 8 + 6 = 24 cm.
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Hope my answer is helpful to you.