Step-5

Title: Area and Perimeter

Grade: 6-a Lesson: S2-L2

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the height of an equilateral triangle if its perimeter is 31 units.

2

Step

The given perimeter of the triangle is

31 units

3

Formula:

The height of an equilateral triangle is

\$Height = \sqrt (3) /2 times perimeter /3\$

4

Step

Substitute the given values in the formula

\$Height = \sqrt (3) /2 times (31) /3\$

5

Step

After simplification

\$Height = 0.866 times 10.33\$

6

Step

After simplification

Height = 8.945 units

7

Step

The height of an equilateral triangle is Height = 8.945 units

8

Sumup

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

9

Choice.A

This is not correct because it seems to be twice the correct value, possibly an misinterpretation of the problem

17.870 units

10

Choice.B

This is correct because it matches the calculated value using the equilateral triangle formula

8.945 units

11

Choice.C

This is not correct because it does not match the calculated value and the units are different

8.935 m

12

Choice.D

This is not correct because it appears to be the double of the correct answer

17.870 cm

13

Answer

Option

B

14

Sumup

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


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