What is the perimeter and area of a triangle? j(-5,6). k(3,4) l(-2,1)

Perimeter of triangle JKL: .

Area of triangle JKL: 17.

Step-by-step explanation:

None of the three sides of triangle JKL is parallel to either the x-axis or the y-axis. Apply the Pythagorean Theorem to find the length of each side.

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The perimeter of triangle JKL will be:

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In case you realized that , which makes JKL an isosceles right triangle:

Area of a right triangle:

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Alternatively, apply the Law of Cosines to find the cosine of any of the three internal angles. This method works even if the triangle does not contain a right angle.

Taking the cosine of angle K as an example:

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Apply the Pythagorean Theorem to find the sine of angle K:

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The height of JKL on the side JK will be:

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What will be the area of JKL given its height on a base of length ?

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