Question

Which set of side lengths can be used to form a right triangle

Answer 1

Answer:

14, 48, 50

Step-by-step explanation:

To check which set of side length can be used to form a right triangle we use pythagorean theorem

c^2 = a^2 + b^2

biggest side (hypotenuse is c^2)

(a) 14, 48, 50

$50^2 = 14^2 + 48^2$

2500= 196+2304

2500= 2500 that is  true

(b) 30, 40, 60

$60^2 = 30^2 + 40^2$

3600= 900+ 1600

3600= 2500  that is false

(c) 14, 50, 60

$60^2 = 14^2 + 50^2$

3600= 196+2500

2500= 2196    that is false

(d)  10, 24,28

$28^2 = 10^2 + 24^2$

784=100+576

784=676    that is false