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Delicious77 [7]
3 years ago
12

AABC is similar to ADEF. Find x. perimeter of triangle DEF= 60

Mathematics
1 answer:
vovangra [49]3 years ago
5 0
Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC

6+8+10 = 24

24/60 = 2/5

10/x = 2/5
50 = 2x
25 = x
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3 years ago
Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU
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<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

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Similarly, the breadth will be,

\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5

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2 years ago
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