How many different triangle can you make if you are given these two sides and an angle that is not between those sides
1 answer:
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Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be .
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are and
.
The ratio of is
.
The reason why it ideally should be and not
is because the question states
, which mentions
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Option C: 90° is the value of x.
Explanation:
The given expression is for
We need to solve the expression.
Thus, we have,
Subtracting both sides by 4, we have,
Adding both sides by 8 sin x, we get,
Dividing both sides by 10, we have,
Taking on both sides of the equation, we get,
Thus, the value of x is 90°
Hence, Option C is the correct answer.