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2 years ago

Find the length of AC Give your answer to 1 decimal place

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer:

AC ≈ 17.3 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan68° = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{AC}{7}$ ( multiply both sides by 7 )

7 × tan68° = AC , then

AC ≈ 17.3 cm ( to 1 dec. place )

Fantom [35]2 years ago

3 0

We will use tangent here as we are finding the opposite with the adjacent given.

So we can simply just put this into a calculator:

tan(68°) × 7 cm = AC

tan(68°) × 7 cm = 17.3 cm

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Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

This means that we can algebraically solve the equation $n + 3n + 3 + 2n + 11 = 50$

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Step 2: Subtract 14 from both sides.

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