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bekas [8.4K]
3 years ago
7

Determine whether the triangles are congruent. Explain you reasoning.

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
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<h2>The height is 3.43 centimeters, approximately.</h2>

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Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

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Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

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