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Fantom [35]
3 years ago
15

If the perimeter of a triangle is 10x + 5y and two of the sides are 3x + 4y and 5x − y, which is the third side? A. 2x + 2y B. 2

x + y C. −2x + 2y D. x + 2y
Mathematics
1 answer:
Vlad [161]3 years ago
5 0
The measures of two sides of a triangle are 3x + 4y and 5x - y. If the perimeter is 10x + 5y, find the measure of the third side. 

<span>Let measure of the 3rd side be 'b'. </span>

<span>Substitute the values of length of the two sides and perimeter in equation and solve for b. </span>

<span>So, 10x + 5y = 3x + 4y + 5x - y + b..........[Substitute the values] </span>
<span>10x + 5y = 8x + 3y + b </span>
<span>(10x + 5y) - (8x + 3y) = b </span>
<span>10x + 5y - 8x - 3y = b </span>
<span>10x - 8x + 5y - 3y = b </span>
<span>2x + 2y = b </span>

<span>So, the measure of the third side is 2x + 2y. </span>
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