Question

3. The length of one side of a right triangle are equal and the square of its hypotenuse is 50 cm². Find the length of each leg ​

Answer 1

Answer:

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 is +5

Answer 2

Answer:

5

Step-by-step explanation:

By Pythagoras theram

side^2+base^2=hypo^2

s^2+s^2=hypo^2

2s^2=h^2

2s^2=50

s^2=25

side=5/-5