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Vlad1618 [11]
3 years ago
14

two sides of an obtuse triangle measure 12 inches and 14 inches.the longest side measures 14 inches.what is the greatest possibl

e whole number length of the unknown length of the unknown side
Mathematics
1 answer:
Sidana [21]3 years ago
4 0
The length of a side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

12 in. + 14 in. = 26 in.

14 in. - 12 in. = 2 in.

The third side must measure more than 2 inches and less than 26 inches, but we are told that the 14-inch side is the longest side of the triangle, so the third side must measure less than 14 inches. The largest whole-number length less than 14 inches is 13 inches.

Answer: It measures 13 inches.
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What is the approximate area that is shaded red?
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To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.


Area of a rectangle:

A = l × w             [ l = 11 in ; w = 6in ]    Plug these numbers into the equation

A = 11 · 6

A = 66 in²


Area of a triangle:

A=\frac{1}{2}bh     [ b = 4 in ; h = 6 in ] Plug these #s into the equation

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A=\frac{24}{2}

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