Two corners of an isosceles triangle are at $(5, 2)$ $(5 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . If the triangle's area is $8$ $8$ , what are the lengths of the triangle's sides?

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Two corners of an isosceles triangle are at $(5, 2)$ $(5 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . If the triangle's area is $8$ $8$ , what are the lengths of the triangle's sides?

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Answer 1 · 2017-12-11T08:54:42

Measure of the three sides are (3.1623, 5.3007, 5.3007)

Explanation:

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Length $a = \sqrt{{(2 - 5)}^{2} + {(1 - 2)}^{2}} = \sqrt{10} = 3.1623$ $a = sqrt((2-5)^2 + (1-2)^2) = sqrt 10 = 3.1623$

Area of $Delta = 8$
$:. h = (Area) / (a/2) = 8 / (3.1623/2) = 8 / 1.5812 = 5.0594$
$side b = sqrt((a/2)^2 + h^2) = sqrt((1.5812)^2 + (5.0594)^2)$
$b = 5.3007$

Since the triangle is isosceles, third side is also $= b = 5.3007$

Measure of the three sides are (3.1623, 5.3007, 5.3007)

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Two corners of an isosceles triangle are at $(5, 2)$ $(5 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . If the triangle's area is $8$ $8$ , what are the lengths of the triangle's sides?

1 Answer

Explanation:

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Two corners of an isosceles triangle are at (5 ,2 )(5,2)(5 ,2 ) and (2 ,1 )(2,1)(2 ,1 ). If the triangle's area is 8 88 , what are the lengths of the triangle's sides?

1 Answer

Explanation:

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Two corners of an isosceles triangle are at $(5, 2)$ $(5 ,2 )$ and $(2, 1)$ $(2 ,1 )$ . If the triangle's area is $8$ $8$ , what are the lengths of the triangle's sides?