Kinds of Triangles Review Problems

Kinds of Triangles

 Type of Triangle

 Features

 scalene trianglescalene triangle is a triangle that has three unequal sides,

  • No two sides are equal
  • No two angles are equal
Isosceles Triangle An isosceles triangle is a triangle that has two sides of equal length.

  • two sides (legs) are equal
  • the third side is the base
  • two angles (base angles) are equal
  • the third angle is the vertex
 equilateral triangleAn equilateral triangle is a triangle in which all three sides are equal.

  • All three sides are equal
  • All three angles are equal
  • Each angle =60°
 acute triangle An acute triangle is a triangle with all three angles acute (less than 90°).

  • all angles are less than 90°
 right triangle 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 hypotenuse
  • other 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?

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