# Kinds of Triangles Review Problems

### Kinds of Triangles

 Type of Triangle Features A scalene triangle is a triangle that has three unequal sides,No two sides are equalNo two angles are equal An isosceles triangle is a triangle that has two sides of equal length.two sides (legs) are equalthe third side is the basetwo angles (base angles) are equalthe third angle is the vertex An equilateral triangle is a triangle in which all three sides are equal.All three sides are equalAll three angles are equalEach angle =60° An acute triangle is a triangle with all three angles acute (less than 90°).all angles are less than 90° A right triangle or right-angled triangle is a triangle in which one angle is a right angle.one angle is a right angle (equals 90°)side opposite the right angle is the hypotenuseother two sides are the legs An obtuse triangle is a triangle in which one of the angles is an obtuse angle.one angle is obtuse (greater than 90°, but less than 180°)

### Kinds of Triangles Review Problems:

• 1) In triangle ABC, if CA = CB and the measure of angle A is 50 degrees, find the measure of angle B.
• 2) In triangle ABC AB = BC. If AB = 5x and BC = 2x + 18, find AB and BC.
• 3) In isosceles triangle ABC, AB = BC. If AB = 5x + 10, BC = 3x + 40, and AC = 2x +30, find the length of each side of the triangle.
• 4) In triangle ABC, AB = BC. If the measure of angle A = 7x and the measure of angle C = 2x + 50, find the measure of angle A and angle C
• 5) In triangle EFG, EF = FG. If the measure of angle E = 4x + 50, the measure of angle F = 2x + 60, and the measure of angle G = 14x + 30, find angles E, F, and G.
• 6) Could the following be sides of a triangle: 16, 18, and 37? Why or why not?
• 7) Could the following be sides of a triangle: 56, 59, and 115? Why or why not?