Question

If two legs of right triangle are equal and hypotenuse is 64cm then find the length of each legs

Answer 1

ABC is an right angled isosceles triangle

so,

AC^2. =Bc^2+Bc^2

64^2= 2BC^2

4096=2Bc^2

2048=BC^2

BC =45.25

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Answer 2

Answer:

length of the each leg is 45.25 cm

Step-by-step explanation:

let two legs be X

for right angled triangle, we know

${x}^{2} + {x}^{2} = 64 ^{2} \\ 2 {x}^{2} = 4096 \\ {x}^{2} = \frac{4096}{2} \\ {x}^{2} = 2048 \\ x = \sqrt{2048 } \\ x = 45.25cm$

length of the each leg is 45.25 cm