Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Area of Triangle(Based on Angles) |
Grade: 4-a Lesson: S2-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A Triangle with two known sides and the included angle between them. Find the area of the triangle.If the PQ = 12 ft , QR = 16 ft and ∠PQR = 75 degrees |
|
2 |
Step |
Given side PQ is |
12 ft |
3 |
Step |
The side length QR is |
16 ft |
4 |
Clue |
sin75° = 0.96 |
|
5 |
Formula |
If one angle of a triangle is given, the formula to find its area can be used. |
\$1/2 times "side1" times "side2" times "sinX"\$ |
6 |
Step |
Now plug the values into the formula |
A = \$1/2 times 12\times 16 times sin75°\$ ⇒ \$(192 \times 0.96)/2\$ |
7 |
Step |
After cancellation, the value we receive. |
A = \$(184.32)/2\$ = 96.12 |
8 |
Step |
So, the area of the triangle is 96.12 sq.ft. |
|
9 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
10 |
Choice.A |
Comparing the given result of 92 sq. feet with the actual result, it seems incorrect. Therefore, the option is wrong |
92 sq.ft |
11 |
Choice.B |
The correct response aligns with this option, affirming the triangle’s area as precisely 96.12 square feet |
92.64 sq.ft |
12 |
Choice.C |
Comparing the given result of 93 sq. feet with the actual result, it seems incorrect. Therefore, the option is wrong |
93 sq.ft |
13 |
Choice.D |
Comparing the given result of 92.46 sq. feet with the actual result, it seems incorrect. Therefore, the option is wrong |
92.46 sq.ft |
14 |
Answer |
Option |
B |
15 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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