Answer :

Based on triangle ABC, each measure include the following:

10. CB = 45.

11. FE = 28.5

12. m∠DFC = 64°

13. AE = 30

14. m∠DFB = 71°.

15. DF = 30

What is a midsegment?

In Mathematics and Euclidean Geometry, a midsegment is a type of line segment that is used for connecting the midpoints of two sides of a triangle. Also, the midsegment of a triangle is one-half the length of its parallel base.

By applying the midsegment theorem, we can determine each of the lengths and angles as follows:

CB = 2DE

CB = 2(22.5)

CB = 45.

Part 11.

FE = AC/2

FE = 57/2

FE = 28.5

Part 12.

m∠EDF ≅ m∠DFC (Alternate interior angles theroem)

m∠DFC = 64°

Part 13.

AE = AB/2

AE = 60/2

AE = 30

Part 14.

By applying sine rule, we have:

sinx/22.5 = sin64/28.5

sinx = 22.5 × 0.0315

x = sin⁻¹(0.7096)

x = 45.20

m∠DFB = 180 - (64 + 45.20)

m∠DFB = 70.8 ≈ 71°.

Part 15

DF ≡ AE = 30

Read more on midsegment here: brainly.com/question/14981061

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Thanks for taking the time to read In Problems 10 15 find each measure 10 CB 11 FE 12 m DFC 13 AE 14 m DFB 15 DF А 22 5 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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