Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Area of triangle |
Grade: 7-a Lesson: S4-L2 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the sides of an equilateral triangle whose area is \$12 sqrt(3) m^2\$. |
|
2 |
Given |
The area of equilateral triangle is \$12 sqrt(3) m^2\$. |
|
3 |
Formula: |
The area of equilateral triangle is given by |
\$Area = (sqrt 3/4) times s^2\$ |
4 |
Step |
Substitute the values in the formula |
\$ 12 sqrt(3)= (sqrt 3/4) times s^2\$ |
5 |
Step |
After simplification |
\$12 sqrt(3) times 4 = (sqrt 3) times s^2\$ |
6 |
Step |
After simplification |
\$48 sqrt(3) = sqrt(3) times s^2\$ |
7 |
Step |
After simplification |
\$48 = s^2\$ |
8 |
Step |
After simplification |
\$s = sqrt (48)\$ |
9 |
Step |
After simplification |
\$s = sqrt(16) times 3\$ |
10 |
Step |
After simplification |
\$s = 4 sqrt(3) m\$ |
11 |
Step |
Answer |
Therefore, the length of each side of the equilateral triangle is \$4sqrt(3) cm\$ |
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