Question

Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.

Answer 1

Explanation:

Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.

Since;

<B = <C = 60°

Then,

<A + <B + <C =
`180^(o)`

<A + 60° + 60° =
`180^(o)`

<A =
`180^(o)` -
`120^(o)`

= 60°

Thus,

AB = BC = AC = 6 inches

The construction is attached to this answer.