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Lesson Example Discussion Quiz: Class Homework

Step-2

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 triangle whose height is \$36cm\$ and the base is \$1/8\$th the length of the height.
2	Step	The given height and base are,	36 cm & \$1/8\$
3	Step	Now calculate the Base length	⇒ \$(1/8) \times h\$ ⇒ \$36/8 (cm)\$ = 4.5cm
4	Formula:	The formula for the area (A) of a triangle is given by the formula	A = \$(1/2) \times b \times h\$
5	Step	Substitute the values into the formula	A = \$(4.5 \times 36)/2 (cm)^2\$ A =\$162/2 = 81 (cm)^2\$
6	Step	Therefore, area of the triangle is \$81cm^2\$
7	SumUp	Can you summarize what you’ve understood in the above steps?
8	Choice.A	Choice A is correct, because it corresponds to the calculated area of the triangle using the given height and base lengths	\$81cm^2\$
9	Choice.B	Choice B is incorrect, because it doesn’t match the calculated area of the triangle	\$8cm^2\$
10	Choice.C	Choice C is incorrect, because correct area is 81 cm², not 18 cm²	\$18cm^2\$
11	Choice.D	Choice D is incorrect, because correct area is 81 cm², not 80 cm²	\$80cm^2\$
12	Answer	Option	A
13	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the area of the triangle whose height is \$36cm\$ and the base is \$1/8\$th the length of the height.

Step

The given height and base are,

36 cm & \$1/8\$

Step

Now calculate the Base length

⇒ \$(1/8) \times h\$

⇒ \$36/8 (cm)\$ = 4.5cm

Formula:

The formula for the area (A) of a triangle is given by the formula

A = \$(1/2) \times b \times h\$

Step

Substitute the values into the formula

A = \$(4.5 \times 36)/2 (cm)^2\$

A =\$162/2 = 81 (cm)^2\$

Step

Therefore, area of the triangle is \$81cm^2\$

SumUp

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

Choice.A

Choice A is correct, because it corresponds to the calculated area of the triangle using the given height and base lengths

\$81cm^2\$

Choice.B

Choice B is incorrect, because it doesn’t match the calculated area of the triangle

\$8cm^2\$

Choice.C

Choice C is incorrect, because correct area is 81 cm², not 18 cm²

\$18cm^2\$

Choice.D

Choice D is incorrect, because correct area is 81 cm², not 80 cm²

\$80cm^2\$

Answer

Option

SumUp

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