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In this lesson, we will learn how to identify equilateral triangles by their equal side lengths or equal angle measures to find a missing side length, perimeter, or area.

Q1:

One side of an equaliteral triangle has length ( 3 π₯ + 2 ) . Another side has length ( 7 π₯ β 6 ) . Find the perimeter of the triangle.

Q2:

One side of an equaliteral triangle has length ( 4 π₯ + 7 ) . Another side has length ( 3 π₯ + 8 ) . Find the perimeter of the triangle.

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:

The perimeter of an equilateral triangle is equal to the perimeter of a rectangle with a length of 12 cm and a width of 9 cm. Find the length of one side of the triangle.

Q5:

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

Q6:

Q7:

Q8:

In the figure, find the values of π₯ and π¦ .

Q9:

Q10:

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

Q11:

Given that triangle π΄ π΅ πΆ is equilateral, and π΄ π΅ = 1 2 0 c m , determine the lengths of π΄ πΆ and π΅ πΆ .

Q12:

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

Q13:

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

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 β π given π π π is a triangle where π π = π π = π π = 6 c m .

Q16:

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

Q17:

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

Q18:

From a deck of cards that has a length of 7 2 inches, you take two cards and lean them together to create an equilateral triangle. What is the height of the triangle?

Q19:

In β³ π π π , if π π = π π = π π , then π β π = .

Q20:

In the figure below, π΄ π΅ πΆ is an equilateral triangle, π· π΅ = π· πΆ , and π β π΅ π· πΆ = 1 1 2 β . Find π β π΄ π΅ π· .

Q21:

In the figure below, π΄ π΅ πΆ is an equilateral triangle, π· π΅ = π· πΆ , and π β π΅ π· πΆ = 1 0 3 β . Find π β π΄ π΅ π· .

Q22:

In β³ π π π , if π π = π π = π π , then π β π = .

Q23:

Find the perimeter of β³ π΄ π΅ πΆ .

Q24:

The area of an equilateral triangle is 2 5 6 β 3 cm^{2}. Find the side length.

Q25:

The area of an equilateral triangle is 2 5 β 3 cm^{2}. Find the side length.

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