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Likurg_2 [28]
3 years ago
13

Given each pair of similar triangles find the missing value. of LJK=PQR find x

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

1

Step-by-step explanation:

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Answer:

x = 6

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Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

y = \frac{x}{2}

y = \frac{6}{2}=3

Therefore, x = 6 and y = 3 will be the answer.

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