What is the area of this triangle?

Mathematics

1 answer:

Naddika [18.5K]2 years ago

5 0

Answer:

Area of the given triangle = 6.51 ft²

Step-by-step 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

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