Question
If angle B measures 25^circ what is the approximate perimeter of the triangle below? 10.3 units 11.8 units 22.1 units 25.2 units
Answer
3.7
(212 Votes)
Neil
Master · Tutor for 5 years
Answer
To find the perimeter of the right triangle ABC, we need to find the lengths of all three sides: AB, BC, and AC. We already know that AB = 4 units and that ∠A is a right angle, which means that ∠C is
.Step 1: Find the length of AC (the adjacent side to ∠B) using the cosine function.
Using a calculator, we find that:
Step 2: Find the length of BC (the opposite side to ∠B) using the sine function.
Using a calculator, we find that:
Step 3: Calculate the perimeter by adding the lengths of all three sides.
The closest answer to our calculation is 10.3 units, so the approximate perimeter of the triangle is:Answer: 10.3 units