Question

the hypotenuse of an isoceles right angled triangle is 242cm. find the length of each side​

Answer 1

Step-by-step explanation:

(H)^2 = (P)^2 +(B)^2 [By Pythagoras Theorem]

(P) = (B) [ Triangle is isosceles ]

(242)^2 = (P)^2 + (P)^2

58564 = 2(P)^2

58564/2 = (P)^2

29282 = (P)^2

√29282 = (P)

171.119 cm (approx.) = P = B

Answer 2

Question should be:

The square hypotenuse of an isoceles right angled triangle is 242cm. find the length of each side.

Answer:

The length of two equal sides is 11 cm

Step-by-step explanation:

The triangle is isosceles right triangle, so two sides are equal and one angle is of 90°.

Let two equal sides be x.

According to Pythagoras theorem,

H² = P² + B²

Here, P = B = x

=> (242) = 2x²

=> x² = 242/2

=> x² = 121

=> x = √121

=> x = 11 cm

Therefore, length of equal sides is 11 cm.