Question

The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.. A. 15.6 cm . B. 22 cm . C. 7.8 cm . D. 19.1 cm

Answer 1

The length of the hypotenuse would be :

h^2 = 2 (11)^2

h^2 = 242

h =
`√(242)`

h = 15.6 cm

So the answer would be option A.

hope this helps

Answer 2

If there is a hypotenuse, the triangle is a right triangle. From the Pythagorean Theorem:

c^2 = a^2 + b^2 [the square of the hypotenuse is the sum of the squares of the other two sides]

c^2 = 11^2 + 11^2 = 121 + 121 = 242

c = sqrt(242) = 15.56 cm (rounded)