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Equilateral Triangle Area Quiz

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Equilateral Triangle Area Quiz

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About this activity

Test your understanding of equilateral triangle area calculations.

Created by

Keyra Nicool Nolberto De La Cruz
Keyra Nicool Nolberto De La Cruz
Dominican Republic

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Equilateral Triangle Area Quiz
 

Equilateral Triangle Area QuizOnline version

Test your understanding of equilateral triangle area calculations.

by Keyra Nicool Nolberto De La Cruz
1

What is the formula for the area of a triangle used here?

2

If the side length is 2 cm, what is half of the base?

3

What height calculation is used for the equilateral triangle with side 2 cm?

4

What is the height (h) of the 2 cm side equilateral triangle?

5

Which theorem is used to calculate the height in this problem?

6

What is the exact area of the triangle with side 2 cm?

7

What is the decimal approximation of √3 used here?

8

What is the approximate area of the triangle?

9

Which formula is substituted to obtain the area?

10

What is the difference between exact and decimal area expressions?

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The standard area formula for a triangle is base times height divided by 2.

Half of the base (2 cm) is 1 cm.

Height is found via the right triangle: h^2 = side^2 - (half-side)^2.

Solving gives h = √3 cm.

Height derivation uses the Pythagorean theorem in the right triangle.

Area exact value is √3 cm².

√3 is approximately 1.73 in decimal form.

Using the decimal for √3 yields about 1.73 cm².

Insert base and height into the triangle area formula.

Exact area uses √3; decimal gives a numeric approximation.

 
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