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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

Respuesta :

The length of the hypotenuse would be :

h^2 = 2 (11)^2 

h^2 = 242

h = [tex] \sqrt{242} [/tex]

h = 15.6 cm

So the answer would be option A.

hope this helps
 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)

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