# Worksheet: Equilateral Triangles

In this worksheet, we will practice identifying equilateral triangles by their equal side lengths or equal angle measures to find a missing side length, perimeter, or area.

**Q3: **

The perimeter of an equilateral triangle is equal to the perimeter of a rectangle with a length of 5 cm and a width of 4 cm. Find the length of one side of the triangle.

**Q4: **

Find the perimeter of .

**Q5: **

In the figure, find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

In the figure below, is an equilateral triangle, , and . Find .

**Q7: **

The area of an equilateral triangle is cm^{2}.
Find the side length.

**Q8: **

The diagram shows an equilateral triangle. Find the length of its sides.

**Q9: **

What is the ratio of the length of a side of an equilateral triangle to its perimeter?

- A
- B
- C
- D
- E

**Q10: **

A triangle has three sides equal in length and a perimeter of 24 length units. Find the length of one of its sides.

**Q11: **

Calculate the length of one of the sides of an equilateral triangle which has a perimeter of 93 m.

**Q12: **

Given that triangle is equilateral, and , determine the lengths of and .

- A 60 cm, 60 cm
- B 240 cm, 240 cm
- C 120 cm, 240 cm
- D 120 cm, 120 cm

**Q13: **

If one of the sides of an equilateral triangle measures 50 cm, calculate its perimeter.

**Q14: **

If a square with side length 54 cm has the same perimeter as an equilateral triangle, what is the side length of the triangle?

**Q15: **

Find the value of given is a triangle where .

**Q16: **

What is the measure of each angle in an equilateral triangle?

**Q17: **

From a deck of cards that has a length of inches, you take two cards and lean them together to create an equilateral triangle. What is the height of the triangle?

- A inches
- B inches
- C inches
- D inches
- E inches

**Q18: **

In , if , then .

**Q19: **

In , if , then .

**Q20: **

If the measure of the vertex angle of an isosceles triangle is , then the triangle is .

- A a right-angled triangle
- B a scalene triangle
- C an equilateral triangle

**Q21: **

is a triangle where . Find the value of .

**Q22: **

In a triangle , if , what is ?

**Q23: **

Write an equation for the perimeter, cm, of an equilateral triangle with sides of length cm.

- A
- B
- C
- D
- E

**Q24: **

Find the area of the equilateral triangle whose circumcircleβs equation is .

- A square units
- B square units
- C square units
- D square units

**Q25: **

Write this ratio in its simplest form: The ratio of the side length of an equilateral triangle to its perimeter.

- A
- B
- C
- D