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Lesson Example Discussion Quiz: Class Homework

Step-4

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 XYZ with two known sides and the included angle between them. Find the area of the triangle. If the XY = 7 cm , XZ = 10 cm and \$\angle "YXZ"= 110\$
2	Step	Given side XY is	7 cm
3	Step	The side length XZ is	10 cm
4	Clue	sin110° = 0.93
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 7 \times 10 \times sin110°\$ ⇒ \$(70 \times 0.93)/2\$
7	Step	After cancellation, the value we receive.	A = \$(65.1)/2\$ = 35.22
8	Step	So, the area of the triangle is 35.22 sq.cm.
9	SumUp	Can you summarize what you’ve understood in the above steps?
10	Choice.A	The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 33.90 square cm	33.90 sq.cm
11	Choice.B	The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 33 square cm	33 sq.cm
12	Choice.C	The answer correctly corresponds to this option, confirming that the triangle’s area is 35.22 square centimeters	35.22 sq.cm
13	Choice.D	The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 32 square cm	32 sq.cm
14	Answer	Option	C
15	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

A triangle XYZ with two known sides and the included angle between them. Find the area of the triangle. If the XY = 7 cm , XZ = 10 cm and \$\angle "YXZ"= 110\$

Step

Given side XY is

7 cm

Step

The side length XZ is

10 cm

Clue

sin110° = 0.93

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"\$

Step

Now plug the values into the formula

A = \$1/2 \times 7 \times 10 \times sin110°\$

⇒ \$(70 \times 0.93)/2\$

Step

After cancellation, the value we receive.

A = \$(65.1)/2\$ = 35.22

Step

So, the area of the triangle is 35.22 sq.cm.

SumUp

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

Choice.A

The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 33.90 square cm

33.90 sq.cm

Choice.B

The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 33 square cm

33 sq.cm

Choice.C

The answer correctly corresponds to this option, confirming that the triangle’s area is 35.22 square centimeters

35.22 sq.cm

Choice.D

The given choice is incorrect, resulting in an inaccurate calculation of the triangle’s area, which is 32 square cm

32 sq.cm

Answer

Option

SumUp

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