Question

The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the length of each leg.

Answer 1

As the two sides are equal, And square of Hypotenuse i.e Hypotenuse ² = 50,

Let side of the triangle be x,

According to Pythagoras Theorem,

Side² + Side² = Hypotenuse²,

=> As sides are equal, Both are x
=> x² + x² = 50

=> 2x² = 50,
=> x² = 25,
=> x = +5 or -5 , But sides can't be negative, So the length of the legs or length of the sides is +5,

There the answer is +5,

Hope you understand, Have a great day !

- Bunti 360 !

Answer 2

Answer:

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Step-by-step explanation: