Question

Is it possible to draw an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100° ?

Use the given sides and angles to explain why or why not.

Answer 1

No

Explanation:

An isosceles triangle has two sides of equal length.

All interior angles in an isosceles acute triangle are less than 90°.

Therefore, it is not possible to draw an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100° as two sides are not of equal length and 100° > 90°.