4 years ago

What is the sum of interior angles of a triangle

Mathematics

1 answer:

castortr0y [4]4 years ago

3 0

180 degrees.....................................

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Answer:

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Step-by-step explanation:

The area of trapezoid is

$=\frac12(\textrm{ sum of parallel sides})\times height$

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

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$=\frac12 (b_2+6+b_2)\times 8$ in²

$=\frac12(2b_2+6)\times8$ in²

According to the problem,

$\frac12(2b_2+6)\times8 =96$

$\Rightarrow 2b_2+6=\frac{96\times 2}{8}$ [ Multiplying $\frac28$ ]

$\Rightarrow 2b_2+6=24$

$\Rightarrow 2b_2=24-6$

$\Rightarrow 2b_2=18$

$\Rightarrow b_2=\frac{18}{2}$

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