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podryga [215]
2 years ago
11

Find UX and the area of △UVW.

Mathematics
1 answer:
Mkey [24]2 years ago
7 0

Answer:

UX ≈ 4.5

△UVW = 49.5 ft²

Step-by-step explanation:

[] We can assume that UX is the midline of this triangle.

22 ft / 2 = 11 ft

XW and VX = 11 ft

[] Now that we have 2 sides of a right traingle, we can find the third.

a² + 11² = 12²

a² + 121 = 144

a² = 20

a = about 4.5, which is side UX

[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2

22 * 4.5 = 99

99 / 2 = 49.5 ft²

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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