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5 votes
Find the value of x in the triangle shown below.
X =
7
80°
9
7

User Doria
by
8.3k points

1 Answer

5 votes

To find the value of x in the triangle, we can use the law of sines, which states that in any triangle ABC, the following relationship holds:

a/sin A = b/sin B = c/sin C

where a, b, and c are the side lengths of the triangle opposite to the angles A, B, and C, respectively.

In this case, we can write:

x/sin 80° = 7/sin 50°

Using the properties of sines, we can simplify this expression to:

x = (7 x sin 80°) / sin 50°

Using a calculator, we can evaluate this expression to get:

x ≈ 9.05

Therefore, the value of x in the triangle is approximately 9.05.

User ERbittuu
by
8.8k points

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