Question

Tell whether the following lengths are possible to be sides of a right triangle. if it is a triangle, state whether if it is a acute, right or obtuse

a. 2,2,2
b. 4,6,10
c. 7,24,25
d. 1, √3, 2
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Answer 1

A) an equilateral triangle with acute angles (60°)

B) isn't the lengths of a triangle

C) is a right triangle

D) is a right triangle

Explanation:

A) 2,2,2, all sides and angles are all equal

B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle

C) it's a right triangle as the dimensions are a pythagorean triple

D) it's a right triangle as the dimensions are a pythagorean triple