Question

Find the value of x. Then, classify the triangle (one name for its side lengths, one name for its angles).

Answer 1

20 and acute

ive worked it out on the attachment/picture im not sure if its right but its a guess

Answer 2

x = 10

scalene, obtuse

Explanation:

Sum of interior angles of a triangle = 180°

⇒ 10x + 8 + 52 + 2x = 180

⇒ 12x + 60 = 180

⇒ 12x = 120

⇒ x = 10

∠A = 52°

∠B = (10 x 10) + 8 = 108°

∠C = 2 x 10 = 20°

Scalene: no equal sides (and no equal angles)

Obtuse: one of the interior angles is bigger than 90°