Question

Which set of measures could be the side lengths of a right triangle? O A. 5 cm, 10 cm, 13 cm • B. 7 cm, 20 cm, 25 cm O c. 8cm, 15 cm, 17 cm O D. 10 cm, 21 cm, 26 cm O E. 12 cm, 14 cm, 21 cm

Answer 1

it suffices to apply the reciprocal of the Pythagorean theorem: In a triangle, if the square of the most side is equal to the sum of the squares of the 2 other sides, then this triangle is right-angled.

A :

13²=169

10²+5²=125

not rectangle

B :

25²=325

7²+20²=449

not rectangle

C :

17²=289

8²+15²=289

rectangle

D ;

26²=676

10²+21²=541

not rectangle

E :

21²= 441

14²+12²=341

not rectangle