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4 years ago

Hey, can someone please give me a step by step on how to do this ?

Mathematics

1 answer:

Aloiza [94]4 years ago

3 0

Answer:

Step-by-step explanation:

using Triangle Proportionality theorem, it states that if a constructed line parallel at one side of a triangle intersects the other two sides of the triangle and divides the remaining two sides proportionally; meaning

10:3x-5 = 8:28

<h2><u>10</u> = <u>8</u></h2><h2>3x-5 20</h2><h2>cross multiply</h2><h2>10 x 20 = 8(3x-5)</h2><h2>200 = 24x - 40</h2><h2>add 40 to both sides</h2><h2>200 + 40 = 24x - 40 + 40</h2><h2>240 = 24x</h2><h2>divide both sides by 24</h2><h2>240/24 = x</h2><h2>10 = x</h2><h2></h2><h2>b. perimeter is side + side + base</h2><h2>{10+(3x-5)} + {16} + {28}</h2><h2>since x =10</h2><h2>10+(3(10)-5)</h2><h2>10+30-5</h2><h2>40-5=35</h2><h2>35+16+28=79</h2>

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