Question

If the square of the hypothesis of an isosceles right-angled triangle is 242 Sq. cm.,find the length of the other two sides of the triangle.

Answer 1

Heya..

Let the equal sides be x.

Since it is a right angled triangle,

=) x^2 + x^2 = Hypotenuse^2

=) 2x^2 = 242 cm^2

=) x^2 = 242/2 = 121 cm^2

=) x = 11 cm

Hence equal sides are 11cm.

Hope it's helpful to u.

Answer 2

Hence the length of the other two sides of the triangle = 11 cm.

Step-by-step explanation:

Given:

The square of the hypothesis of an isosceles right-angled triangle = 242 Sq. cm.

The length of the other two sides of the triangle = ?

By pythagoras theorem

$os^2 + sf^2 = of^2$

$os^2 + os^2 = 242 sq.cm$ [given os = sf ]

$2os^2 = 242$

$os^2 = \frac{242}{2}$

$os^2 = 121$

$os =\sqrt{ 121}$

os = 11

Hence length of the other two sides of the triangle = 11 cm.