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Paul [167]
3 years ago
11

In a 30-60-90 triangle, how many sides do you need to know in order to determine the remaining sides

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
You only need to know one side, you can use , tan, sin, or cos of the angles to find the other 2 sides.
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(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

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Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.
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Answer:

Area=\frac{5}{12}x^2

Step-by-step explanation:

The area of a triangle is given by:

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We substitute into the formula to get:

Area=\frac{1}{2}*\frac{5}{6}x*x

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Area=\frac{5}{12}x^2

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