Question

Which set of numbers represents the lengths of the sides of a right triangle?

a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10

Answer 1

Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.

Answer 2

C is the answer

as to fulfill the condition of right angle triangle , the sum of the squares of two sides should be equal to the square of third side

9²+40²= 1681

41² = 1681

Hope it helps !! :)