How to find length in quadratic equation of right angle triangle?

1 answer:

8 0

If you have an equation you are factoring to find the length of a leg of a right triangle, factor it to solve for x. If by some chance, one of those x-values is negative we can count that one out since length will never be negative. If you have 2 positive solutions, you may have to use some math to see if both of the lengths work according to pythagorean's theorem or if only one works. It depends upon what type of information you are given other than the quadratic.

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Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)

vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

$d = \sqrt{ ({ - 3 - 1})^{2} + ({2 + 6})^{2} } \\ = \sqrt{ ({ - 4})^{2} + {8}^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} \: \: \: \: \: \: \: \: \: \: \\ = 4 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 8.9442719...$