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4 years ago

Find the Perimeter of the polygon if angle B= angle D Please Help Trying to graduate.

Mathematics

1 answer:

Dvinal [7]4 years ago

6 0

Answer:

P = 60 cm

Step-by-step explanation:

To solve this question we will use the property of the tangents drawn from a point to a circle.

"Length of tangents drawn from a point to a circle are equal in measure."

By this property,

Therefore, BG ≅ FB ≅ 7.5 cm

AG ≅ AH ≅ 6.5 cm

CF ≅ EC ≅ 8.5 cm

Since m∠B ≅ m∠D

Therefore, length of tangents FB ≅ GB ≅ DE ≅ DH ≅ 7.5 cm

Since, Perimeter of ABCD = AB + BC + CD + DA

AB = 7.5 + 6.5 = 14 cm

BC = 7.5 + 8.5 = 16 cm

CD = 8.5 + 7.5 = 16 cm

DA = 7.5 + 6.5 = 14 cm

Now Perimeter = 16 + 16 + 14 + 14 = 60 cm

Therefore, P = 60 cm will be the answer.

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3 years ago

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Gnom [1K]

Answer:

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Step-by-step explanation:

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3 years ago

What are the endpoint coordinates for the mid segment of △PQR that is parallel to PQ?

diamong [38]

Answer:

So the end points of the mid segment are:

S $(-3.5,0.5)$

T $(-1,-0.5)$

Step-by-step explanation:

First of all we need to list the co-ordinates of the points of the triangle shown.

P $\rightarrow(-3,3)$

Q $\rightarrow(2,1)$

R $\rightarrow(-4,-2)$

We need to find mid segment of the triangle which is parallel to segment PQ. This would mean we need to find midpoints of segment PR and QR and then join the points to get mid segment.

Midpoint Formula:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$