Question

The area of right angled triangle is 20 sq ft and it's perimeter is 40 ft. Then, length of its hypotenuse is.​

Answer 1

Answer:

Hope that's answered the question.

Answer 2

Solution :-

Let

• Perpendicular = P
• Base = B
• Hypotenuse = H

So,

→ (1/2) * P * B = 20

→ P•B = 40

and,

→ P + B + H = 40

→ P + B = (40 - H)

→ (P + B)² = (40 - H)²

→ P² + B² + 2P•B = 1600 + H² - 2•40•H

using pythagoras theorem,

→ H² + 2 * 40 = 1600 + H² - 80H

→ 80H = 1600 - 80

→ 80H = 1520

→ H = 19 (Ans.)

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