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\$

5

Step

After simplification

\$c^2 = 36 + 64\$ \$c^2 =100\$

6

Step

Apply square root on both sides

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

7

Step

After cancellation

c = 10 unit.

8

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

9

Step

Substitute the values

P = 6 + 8 + 10

10

Step

After simplification

P = 24 meters

11

Solution

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

12

Sumup

Please summarize steps

Choices

13

Choice-A

This is the correct answer for the perimeter of the triangle

Correct 24 meters

14

Choice-B

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

Wrong 30 meters

15

Choice-C

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

Wrong 10 meters

16

Choice-D

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

Wrong 11 meters

17

Answer

Option

A

18

Sumup

Please summarize choices