Question

4. 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

☆ Solution ☆

Given :-

• The two legs of a right triangle are equal and the square of its hypotenuse is 50.

To Find :-

• The length of each leg.

Step-by-Step-Explaination :-

Let the measure of one leg be x

So,

By using pythagorean theorem

H² = B² + P²

Putting the respective value,

50 = x² + x²

50 = 2x²

x² = 50/2

x² = 25

25 = x²

x = 5

Hence,

Measures of other two legs = 5 .

Answer 2

Question ::-

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

Given ::-

• Triangle is a right triangled.

• Two sides of right triangle are equal.

• Square of its hypotenuse is 50 cm.

To find ::-

• Find the Length of each leg ?

Formula used ::-

${H}^{2}$ = ${B}^{2}$ + ${P}^{2}$

Solution ::-

Let the measure of each leg be g.

So , by Pythagoras therom

${H}^{2}$ = ${B}^{2}$ + ${P}^{2}$

$⟼$ 50 = ${g}^{2}$ + ${g}^{2}$

$⟼$ 50 = ${2g}^{2}$

$⟼$ ${g}^{2}$ = $\dfrac{50}{2}$

$⟼$ ${g}^{2}$ = 25

$⟼$ g = 5.

Therefore , Length of each leg is 5 cm