Question

Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?

Answer 1

It's an obtuse angle

Explanation:

Answer 2

Explanation:

Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;

x + 60° + 60° =
`180^(o)` (sum of angle in a triangle)

x + 120 =
`180^(o)`

x =
`180^(o)` - 120

x = 60°

Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.

<ABC ≅ <BAC ≅ < ACB ≅ 60°

AB = BC = AC = 10 cm

The required construction for the question is attached to this answer for more clarifications.