If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 cm²,

Then the length of each leg is ………………

a. a.10 cm b. 5√2 c. 10√2 d. 13√2

Question

If the two legs of a right angled triangle are
equal and the square of the hypotenuse is 100 cm2,
Then the length of each leg is
………………
a a 10 cm b 5√2 c
10√2 d 13√2

ramandeep.singh · Accepted Answer

In right Î”ABC, using Pythagoreas theorem, we get $A B^{2} + B C^{2} = A C^{2} \Rightarrow x^{2} + x^{2} = 100 \Rightarrow 2 x^{2} = 100 \Rightarrow x^{2} = 50 ∴ x = \sqrt{50} = 5 \sqrt{2} c m$ Thus, length of each leg = $5 \sqrt{2} c m$

If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 cm2, Then the length of each leg is ……………… a. a.10 cm b. 5√2 c. 10√2 d. 13√2

If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 cm²,

Then the length of each leg is ………………

a. a.10 cm b. 5√2 c. 10√2 d. 13√2