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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Area of Triangle

Grade: 8-a Lesson: S3-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the area of the equilateral triangle ABC, where AB = AC = BC = 8cm.
2	Step	Given that AB = 8cm , BC = 8cm ,CA = 8cm
3	Formula:	To find the area of an equilateral triangle, you can use the formula	A = \$(sqrt 3)/4 \times (a)^2\$ ( hint a = sides )
4	Step	Substitute the values into the formula	A = \$((sqrt3) / 4 \times (8 cm)^2 )\$
5	Step	Calculate the area	A = \$(sqrt3) / 4 \times 64 (cm)^2\$ A = \$((sqrt3) \times64)/4 (cm)^2\$
6	Step	After Simplify the equation	A = \$(sqrt3) \times 16(cm)^2\$ A = \$16(sqrt3)(cm)^2\$
7	Step	Therefore, the area of the equilateral triangle ABC is \$16(sqrt3)(cm)^2\$
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	Incorrect, as the correct area is \$16(sqrt3)(cm)^2\$	\$14(sqrt3)(cm)^2\$
10	Choice.B	Correctly calculating an equilateral triangle’s area (side length 8 cm) affirms its accuracy with precision	\$16(sqrt3)(cm)^2\$
11	Choice.C	Incorrect, as the correct area is \$16(sqrt3)(cm)^2\$	\$13(sqrt3)(cm)^2\$
12	Choice.D	Incorrect. The area should have units of square centimeters \$cm^2\$, not centimeters cm	\$15(sqrt3)(cm)^2\$
13	Answer	Option	B
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

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

Step

Given that AB = 8cm , BC = 8cm ,CA = 8cm

Formula:

To find the area of an equilateral triangle, you can use the formula

A = \$(sqrt 3)/4 \times (a)^2\$ ( hint a = sides )

Step

Substitute the values into the formula

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

Step

Calculate the area

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

A = \$((sqrt3) \times64)/4 (cm)^2\$

Step

After Simplify the equation

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

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

Step

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

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

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

\$14(sqrt3)(cm)^2\$

Choice.B

Correctly calculating an equilateral triangle’s area (side length 8 cm) affirms its accuracy with precision

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

Choice.C

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

\$13(sqrt3)(cm)^2\$

Choice.D

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

\$15(sqrt3)(cm)^2\$

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?