Question

The two legs of a right angle triangle are equal and square of its hypotenuse is50cm.sq. find length of each leg?​

Answer 1

$\huge\underline\mathbb {SOLUTION:-}$

Answer:

• Length of each leg = 5 Cm

Given:

• Square of the hypotenuse of right triangle is 50Cm.
• The two legs of a right angle triangle are equal.

Need to Find:

• Length of each leg = ?

Explanation:

$\underline\mathsf \blue {According\:to\:Pythagoras\: Theorem:-}$

• $\mathsf {H^2 = B^2 + P^2}$

Let the two legs of right angle triangle be x.

$\underline\mathsf \green {Then\: :-}$

$\implies \mathsf {50 = x^2 + x^2}$

$\implies \mathsf {50 = 2x^2}$

$\implies \mathsf {\cancel{\dfrac{50}{2}} = x^2}$

$\implies \mathsf {25 = x^2}$

$\implies \mathsf {\sqrt{25} = x}$

$\implies \mathsf \pink {x = 5\:Cm}$

• Hence, the length of each leg is 5 Cm.

Additional Information:

$\underline\mathsf \green {Here\: :-}$

• H is used for Hypotenuse.
• B is used for Base.
• P is used for Perpendicular.

Answer 2

Given,

Hypotenuse square of right angle triangle = 50cm²

To Find:

The two other sides of the triangle

Solution:

According to Pythagoras theorem,

H² = B² + P²

Where,

H = Hypotenuse

B = Base

P = Perpendicular

Let the B and P be 'x'

Then,

=> 50 = x² + x²

=> 50 = 2x²

=> 50/2 = x²

=> 25 = x²

=> x = √25

=> x = 5

Therefore, the length other two legs of triangle is 5cm.