Skills · Geometry · Triangles

Isosceles and equilateral triangles

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. triangle ABC, sides AC and BC marked equal: ∠B ?, ∠C 54°ABC?54°
    Find the measure of the angle marked ?.
  2. triangle ABC, sides AC and BC marked equal: AC 18, BC ?, AB 27ABC18?27
    Find the length marked ?.
  3. triangle ABC, sides AB and BC marked equal: AB 10, BC ?, AC 13ABC10?13
    Find the length marked ?.
  4. triangle ABC, sides AB and BC marked equal: ∠C ?, ∠B 128°ABC128°?
    Find the measure of the angle marked ?.
  5. triangle ABC, sides AB and BC marked equal: ∠B ?, ∠C 40°ABC?40°
    Find the measure of the angle marked ?.
  6. triangle ABC, sides AB and AC marked equal: AB ?, AC 13, BC 15ABC?1315
    Find the length marked ?.
  7. triangle ABC, sides AC and BC marked equal: ∠B ?, ∠C 78°ABC?78°
    Find the measure of the angle marked ?.
  8. triangle ABC, sides AB and BC marked equal: ∠B ?, ∠A 30°ABC30°?
    Find the measure of the angle marked ?.

Answer key

  1. 63°
  2. 18 units
  3. 10 units
  4. 26°
  5. 100°
  6. 13 units
  7. 51°
  8. 120°

Sample Sheet · Level 3

  1. triangle ABC, sides AB and AC marked equal: ∠A (8x + 28)°, ∠B 44°ABC(8x + 28)°44°
    Find m∠A.
  2. triangle ABC, sides AB and BC marked equal: ∠A (3x + 38)°, ∠B 68°ABC(3x + 38)°68°
    Find m∠A.
  3. triangle ABC, all three sides marked equal: AB (6x − 23), AC (3x + 1)ABC(6x − 23)(3x + 1)
    Find AB.
  4. triangle ABC, sides AB and AC marked equal: ∠C (9x + 24)°, ∠A 42°ABC42°(9x + 24)°
    Find m∠C.
  5. triangle ABC, sides AC and BC marked equal: AC (3x + 3), BC (5x − 21), AB 27ABC(3x + 3)(5x − 21)27
    Find BC.
  6. triangle ABC, sides AC and BC marked equal: AC (2x + 2), BC (4x − 22), AB 36ABC(2x + 2)(4x − 22)36
    Find AC.
  7. triangle ABC, sides AB and BC marked equal: ∠B (5x − 20)°, ∠A 55°ABC55°(5x − 20)°
    Find m∠B.
  8. triangle ABC, all three sides marked equal: AC (2x − 8), BC (5x − 29)ABC(2x − 8)(5x − 29)
    Find AC.

Answer key

  1. 92°
  2. 56°
  3. 25 units
  4. 69°
  5. 39 units
  6. 26 units
  7. 70°
  8. 6 units

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