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3 years ago

9

Determine the length of , given by x in the figure. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it ma

kes sense. ( no links as answers)

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

= 3²+ 6²

= 9 + 36

x² = 45

x = √45

x = 6.71

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Answer:

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Step-by-step explanation:

The coordinates are:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

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Using Distance Formula

$AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

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$BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

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