Triangles — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Triangles (Plane Geometry), each with the correct answer and a worked solution.

1. The angles of a triangle are in the ratio 2:3:4. Find the largest angle.
2. In a triangle, one angle is 40° and another is 65°. Find the exterior angle at the third vertex.
3. An isosceles triangle has a vertex angle of 50°. Find each base angle.
4. Find the length of the hypotenuse of a right triangle with legs 9 and 12.
5. Find the area of an equilateral triangle with side length 10 cm.
6. A triangle has sides 7, 8, and 9. Find its area using Heron's formula.
7. In triangle ABC, angle A=50° and angle B=70°. Find angle C and classify the triangle as acute, right, or obtuse.
8. The base of an isosceles triangle is 12 cm and each of the two equal sides is 10 cm. Find the height (altitude to the base).