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MrMuchimi
3 years ago
13

The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of

the trapezoid if its diagonal bisects the angle at the longer base.
Plz! Need help quick!
50 POINTS
Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
8 0

Answer:

Each unit is of 28/14 = 2 inches long and the sides are of  6 in,  6 in,  6 in  and  10 in.

Step-by-step explanation:

Make a sketch and find an isosceles triangle formed by the diagonal, shorter base and the lateral side of the trapezoid.

Thus you have the lateral sides of the trapezoid congruent to the shorter base.

Your trapezoid then has the sides of 5:3:3:3 units.

In total, there are 5 + 3 + 3 + 3 = 14 units.

Hence, each unit is of   28/14 = 2 inches long and the sides are of  6 in,  6 in,  6 in  and  10 in.

Would you mind giving me brainliest?

vodomira [7]3 years ago
8 0

Answer:

Each unit is of 28/14 = 2 inches long and the sides are of  6 in,  6 in,  6 in  and  10 in.

Step-by-step explanation:

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