Question

PT Determining Right, Acute and Obtuse Triangles

Answer 1

Obtuse

Explanation:

given a triangle with 3 known sides a, b, c with c the longest side

• a² + b² = c² , then Δ is right

• a² + b² > c² , then Δ is acute

• a² + b² < c² , then Δ is obtuse

here a = 5 , b = 9 and c = 12

then

c² = 12² = 144

a² + b² = 5² + 9² = 25 + 81 = 106

since a² + b² < c² then Δ is obtuse

Answer 2

obtuse

Explanation:

has an obtuse angle about of 115° between legs 12 and 5

Hope this helps