Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Area of Triangle(Based on Sides) |
Grade: 4-a Lesson: S2-L5 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the sides of an equilateral triangle whose area is \$16 \sqrt 3 cm^2\$. |
|
2 |
Step |
The given values is |
\$16 \sqrt 3 \$ |
3 |
Formula |
The area of an equilateral triangle |
\$A = (\sqrt(3) / 4) times s^2\$ |
4 |
Step |
Substitute the value in the formula |
\$16 \sqrt (3) = (\sqrt(3) / 4) times s^2\$ |
5 |
Formula |
We need to determine the length of the sides of an equilateral triangle. |
|
6 |
Step |
Multiply \$4/(\sqrt(3)\$ on both sides |
\$16(\sqrt3) \times 4/\sqrt(3) = \sqrt(3)/4 \times 4/\sqrt(3) \times s^2\$ |
7 |
Hint |
Multiplication of reciprocals is equal to 1 |
\$(a/b) \times (b/a) = 1\$ |
8 |
Step |
After simplification the value we get, |
\$s^2 = 64\$ |
9 |
Clue |
Apply square root on both sides. |
\$\sqrt(s^2) = \sqrt(64)\$ |
10 |
Step |
After simplification the value we get, |
s = 8 |
11 |
Step |
So, the sides of the equilateral triangle are 8cm. |
|
12 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
13 |
Choice.A |
It does not match the correct side length based on the given area |
10 cm |
14 |
Choice.B |
It is correct because it matches the calculated side length of the equilateral triangle with an area |
8 cm |
15 |
Choice.C |
It does not match the correct side length based on the given area |
6 cm |
16 |
Choice.D |
It does not match the correct side length based on the given area |
4 cm |
17 |
Answer |
Option |
B |
18 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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