04ethanjacintoidn
Answered

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If △NMO ∼ △XYZ, and the area of △NMO is 147 square feet, find the area of △XYZ?

If NMO XYZ And The Area Of NMO Is 147 Square Feet Find The Area Of XYZ class=

Sagot :

Abidemiokinidn

The area of the triangle △XYZ is 362.34 square feet

Similar triangles

The ratio of the sides of the triangles is equal to a constant.

Area of triangle △NMO = 0.5bh

21168 =  0.5(14)b

7b =21168

b = 3024in

Using the similar triangle theorem;

14/3024 = 22/XZ

XZ = 33 in = 33/12 =396ft

YZ = 22/12 = 1.83ft

Area of △XYZ = 0.5 *396 * 1.83

Area of △XYZ = 362.34 square feet

Hence the area of the triangle △XYZ is 362.34 square feet

Learn more on similar triangle here: https://brainly.com/question/2644832

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