Your turn: in the diagram, ab = 12, dx = 2.5, and bx = 5. find cd. show all work.

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Solution:

In ΔABX and ΔCDX,

∠CDX=∠ABX=90°

Also,∠CXD=∠AXB (as shown in figure)

∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.

So ΔCDX≈ΔABX

Hence, the ratio of sides must be equal.

Now, using,

Now, To solve for CD, Let us multiply by 12 on both sides

CD=6 Answer

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