Question

Find the area of the oblique triangle rounded to the nearest hundredth. (just the number no units).

Answer 1

Answer:

2,288.87 m²

Step-by-step explanation:

A = $\frac{1}{2}$ × a × b × sin C

A = $\frac{1}{2}$ × 52 × 90 × sin102° ≈ 2,288.87 m²

Answer 2

The area of the oblique triangle rounded to the nearest hundredth is 2289

Step-by-step explanation:

If two sides of a triangle is a and b and the angle between them is C

Then, the area of the triangle is given by

$\Delta=\frac{1}{2}ab\sin C$

Here,

a = 90 m

b = 52 m

∠C = `102°

Therefore, the area of the triangle is

$\Delta=\frac{1}{2}\times 90\times 52\times\sin 102^\circ$

$\implies \Delta=45\times52\times 0.978$

$\implies\Delta=2288.87$ m²

Find the area of the oblique triangle rounded to the nearest hundredth is 2289

Hope this answer is helpful.

Know More:

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