(-1,3) (3,0) (-1.-2) find perimiter

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Step-by-step explanation:

Find the distance between the three pairs first using the distance formula:

Take the first two points, and insert the values:

Simplify parentheses (two negatives makes a positive):

The distance between the first two points is 5. Use the nest two points, and insert values:

Simplify parentheses:

The distance between the nest two point is about 4.5. Use the remaining two points, and insert values:

Simplify parentheses (two negatives makes a positive):

The distance between the last points is 5. Add the distances together to find the perimeter of the triangle:

The perimeter is about 14.5.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4