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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Perimeter of Triangle(based on angles)

Grade: 4-a Lesson: S1-L8

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	A right-angle triangle has a length of 2 adjacent sides of 6 meters and 8 meters, find the perimeter of the triangle.
2	Step	The two adjacent sides sides are given	6 meters & 8 meters
3	Step	Now, You can use the Pythagorean theorem to find the length of the hypotenuse.	\$c^2 = a^2 + b^2\$
4	Step	Now,substitute the values	\$c^2 = 6^2 + 8^2\$ \$c^2 = 36 + 64\$ \$c^2 =100\$
5	Step	Apply square root on both sides	\$\sqrt(c^2) = \sqrt(100)\$
6	Step	After cancellation	c = 10 units
7	Step	Now that you have the lengths of all three sides of the triangle, you can find the perimeter (P) by adding them together:	P = a + b + c
8	Step	Substitute the values	P = 6 + 8 + 10 P = 24 meters
9	Step	So, the perimeter of the right-angled triangle is 24 meters.
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is the correct answer for the perimeter of the triangle	24 meters
12	Choice.B	This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle	30 meters
13	Choice.C	This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle	10 meters
14	Choice.D	This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle	11 meters
15	Answer	Option	A
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

A right-angle triangle has a length of 2 adjacent sides of 6 meters and 8 meters, find the perimeter of the triangle.

Step

The two adjacent sides sides are given

6 meters & 8 meters

Step

Now, You can use the Pythagorean theorem to find the length of the hypotenuse.

\$c^2 = a^2 + b^2\$

Step

Now,substitute the values

\$c^2 = 6^2 + 8^2\$

\$c^2 = 36 + 64\$

\$c^2 =100\$

Step

Apply square root on both sides

\$\sqrt(c^2) = \sqrt(100)\$

Step

After cancellation

c = 10 units

Step

Now that you have the lengths of all three sides of the triangle, you can find the perimeter (P) by adding them together:

P = a + b + c

Step

Substitute the values

P = 6 + 8 + 10

P = 24 meters

Step

So, the perimeter of the right-angled triangle is 24 meters.

SumUp

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

Choice.A

This is the correct answer for the perimeter of the triangle

24 meters

Choice.B

This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle

30 meters

Choice.C

This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle

10 meters

Choice.D

This is not correct because it represents the length of just one side (the hypotenuse) and not the perimeter of the triangle

11 meters

Answer

Option

SumUp

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