In ΔVWX, x = 30 inches, v = 89 inches and ∠W=130°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer 1

Answer:

1023 inches

Step-by-step explanation:

Area = (1/2)(a)(b)(sinA)

Area = (1/2) (30) (89) (sin 130)

Area = 1022.669332 or 1023

Answer 2

The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

To find the area of triangle VWX, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, we need to determine the base and height of triangle VWX.

The length of the base, WX, is given as x = 30 inches.

To find the height, we can use the formula for the area of a triangle:

Area = (1/2) * WX * VW * sin(W)

Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.

Now, we have all the values we need to calculate the area:

Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches

Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

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What is a scalene triangle?

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