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3 years ago

What is the area of a trapezoid ABCD with bases AB and CD

Mathematics

2 answers:

Elan Coil [88]3 years ago

5 0

If you draw a perpendicular to CD from point A or point B, you will create a right triangle with one leg 5 and hypotenuse (BC or DA) 13. The other leg of this triangle is the height of the trapezoid:

... h = √(13² -5²) = 12

The area is this height multiplied by the average base length:

... Area = (12 cm)×(10 cm +20 cm )/2 = 180 cm²

Delvig [45]3 years ago

3 0

A= a+b/2h =10+20/2 x13 =195

I believe 195 is correct if not, I’m so sorry

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Semenov [28]

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

we know that

$m< VUW=55\°$

the measure of angle VXY is equal to

$m$ -----> by supplementary angles

$m$

therefore

$m< VUW=m$

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

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