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krek1111 [17]
2 years ago
12

Can Anyone please solve this? Will mark brainiest!!!!

Mathematics
1 answer:
sergey [27]2 years ago
8 0

Answer:

  (a) see attached

  (b) CD = 29

Step-by-step explanation:

<h3>(a) </h3>

See the attachment for a diagram.

In the diagram, we have shown point E on the plane so that BE is parallel to AC.

__

<h3>(b)</h3>

Triangle BDE is a right triangle with hypotenuse BD = 25 and leg BE = AC = 15. The length DE is given by the Pythagorean theorem as ...

  DE = √(BD^2 -BE^2) = √(625 -225) = 20

Triangle CDE is a right triangle with hypotenuse CD and legs CE = 21 and DE = 20. The length of the hypotenuse is also given by the Pythagorean theorem as ...

  CD = √(CE^2 +DE^2) = √(21^2 +20^2) = √841

  CD = 29

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