1

Problem

Find the area of the equilateral triangle ABC, where AB = AC = BC = 8cm.

2

Step

Given that

AB = 8 cm , BC = 8 cm ,CA = 8 cm

3

Step

To find the area of an equilateral triangle, you can use the formula: A = \$(\sqrt3)/4 \times a^2\$ ( hint a = sides )

4

Step

Substitute the values into the formula:

A = \$(\sqrt3)/4 \times 8^2)\$

5

Step

Calculate the area

A = \$(\sqrt3)/4 \times 64 cm^2\$

A = \$((\sqrt3) \times 64)/4 cm^2\$

6

Step

After Simplify the equation:

A = \$(\sqrt3) \times 16 cm^2\$

A = \$16(\sqrt3) cm^2\$

7

Solution

Therefore, the area of the equilateral triangle ABC is \$16(\sqrt3) cm^2\$.

8

Sumup

Please summarize steps

Choices

9

Choice-A

This option is Incorrect, as the correct area is \$16(\sqrt3)(cm)^2\$

Wrong \$14\sqrt(3) cm^2\$

10

Choice-B

This option accurately calculates the area of an equilateral triangle with a side length of 8 cm and confirms its precision.

Correct \$16\sqrt(3) cm^2\$

11

Choice-C

This option is Incorrect, as the correct is 16 \$16(\sqrt3)(cm)^2\$

Wrong \$13 \sqrt(3) cm^2\$

12

Choice-D

This option is Incorrect. The area should have units of square centimeters \$cm^2\$, not centimeters cm

Wrong \$15\sqrt(3) cm^2\$

13

Answer

Option

B

14

Sumup

Please summarize choices