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umka21 [38]
3 years ago
7

What is the value of X in the triangle shown?

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1\sqrt{2}=x/16

x=16/\sqrt{2}

x=8\sqrt{2}

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Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63. 

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