Two corners of an isosceles triangle are at $(8, 6)$ $(8 ,6 )$ and $(7, 5)$ $(7 ,5 )$ . If the triangle's area is $64$ $64$ , what are the lengths of the triangle's sides?

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Two corners of an isosceles triangle are at $(8, 6)$ $(8 ,6 )$ and $(7, 5)$ $(7 ,5 )$ . If the triangle's area is $64$ $64$ , what are the lengths of the triangle's sides?

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Answer 1 · 2017-12-08T11:16:05

Measure of the three sides are (1.414, 90.5261, 90.5261)

Explanation:

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Length $a = \sqrt{{(8 - 7)}^{2} + {(6 - 5)}^{2}} = \sqrt{2} = 1.414$ $a = sqrt((8-7)^2 + (6-5)^2) = sqrt 2 = 1.414$

Area of $Delta = 64$
$:. h = (Area) / (a/2) = 64 / (1.414/2) = 64 / 0.707 = 90.5233$
$side b = sqrt((a/2)^2 + h^2) = sqrt((0.707)^2 + (90.5233)^2)$
$b = 90.5261$

Since the triangle is isosceles, third side is also $= b = 90.5261$

Measure of the three sides are (1.414, 90.5261, 90.5261)

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Two corners of an isosceles triangle are at $(8, 6)$ $(8 ,6 )$ and $(7, 5)$ $(7 ,5 )$ . If the triangle's area is $64$ $64$ , what are the lengths of the triangle's sides?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

Two corners of an isosceles triangle are at (8 ,6 )(8,6)(8 ,6 ) and (7 ,5 )(7,5)(7 ,5 ). If the triangle's area is 64 6464 , what are the lengths of the triangle's sides?

1 Answer

Explanation:

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Two corners of an isosceles triangle are at $(8, 6)$ $(8 ,6 )$ and $(7, 5)$ $(7 ,5 )$ . If the triangle's area is $64$ $64$ , what are the lengths of the triangle's sides?