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Please help, thank you

Please help, thank you-example-1

1 Answer

8 votes

Answer:

XU = 19

Explanation:

The segments from the triangle vertices to point X are all angle bisectors. Angle bisectors meet at the incenter, the center of an inscribed circle. The incircle is tangent to the sides of the triangle. This means XU = XV = XW.

XW = XV

3a +25 = -2a +15 . . . . . substitute given values

5a = -10 . . . . . . . . . add 2a-25

a = -2 . . . . . divide by 5

XU = XV = -2(-2) +15 . . . . find the measure of the radius

XU = 19

User Evan Krall
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