Question

Select the correct answer.
rounded to the nearest tenth, what is the perimeter of the triangle?
a: 9.3 centimeters
b:10.8 centimeters
c: 11.0 centimeters
d:11.8 centimeters
e:16.2 centimeters

Answer 1

The perimeter of the given triangle is 11.8 cm. The correct option is d:11.8 centimeters

Calculating Perimeter

From the question, we are to determine the perimeter of the triangle

First, we will calculate the lengths of the legs of the triangle

Let the side facing the angle marked 60° be x

and

The side facing the angle marked 30° be y

Using SOH CAH TOA

sin60° = x/5

∴ x = 5sin60°

x = 4.3 cm

Also

sin30° = y/5

∴ y = 5sin30°

y = 2.5 cm

The perimeter of a triangle is the sum of all the side lengths,

Thus,

The perimeter of the triangle is x + y + 5 cm

= 4.3 cm + 2.5 cm + 5 cm

= 11.8 cm

Hence, the perimeter of the given triangle is 11.8 cm. The correct option is d:11.8 centimeters

Learn more on Calculating the perimeter of a triangle here: https://brainly.com/question/1184276

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