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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

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)
Verificación de expertos
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