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Fudgin [204]
3 years ago
14

A triangle has two sides that measure 2.5 cm and 16.5 cm. Which could be the measure of the third side? A. 5.5 cm B. 12.5 cm C.

14 cm D. 17 cm
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0
(2.5)^2 + (16.5)^2 = c^2
c = sqrt(2.5^2 + 16.5^2)
c = sqrt(278.5)
c = 16.69
Rounded up it would be 17, so the answer is D. 
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Step-by-step explanation:

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Now, the endpoints of the mid-segment of \triangle BCD which is parallel to BC will be the mid-points of sides BD and CD.

<u>Formula for the coordinate of mid-point</u> :   (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}), where (x_{1}, y_{1}) and (x_{2}, y_{2}) are two endpoints.

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and the mid-point of CD will be:  (\frac{3-1}{2},\frac{3-3}{2})=(\frac{2}{2},\frac{0}{2})=(1,0)

Thus, the endpoint coordinates for the mid-segment of \triangle BCD that is parallel to BC are  (-2,-1) and (1,0)

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