Question

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer 1

6.52

Explanation:

Just took the test after entering the answer above which was 6.51. After reviewing the test after completion, the answer was actually 6.52.

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Answer 2

Area of the given triangle = 6.51 ft²

Explanation:

If we redraw the triangle as shown in the figure attached we get the height of the triangle as x feet and base = 4.3 feet

Therefore area of ΔABC = (1/2) × Height (AD) × Base(BC)

From ΔABD

sin 53 = AD/AB = x/3.8

x = 3.8 × sin 53

= 3.8 × 0.7986 = 3.03 feet

Now area of ΔABC = (1/2)×3.03×4.3 = 6.51 feet²