Answer:
- area = 14 square units
- perimeter = 19.1 units
Explanation:
The base of the triangle extends from x=2 to x=6, a distance of 4 units.
The height of the triangle is 9 - 2 = 7 units.
Then the area is ...
A = (1/2)(4 units)(7 units) = 14 units^2
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The length of the hypotenuse is given by the Pythagorean theorem.
h^2 = 4^2 +7^2 = 16 +49 = 65
h = √65 ≈ 8.1
The perimeter is the sum of the side lengths:
P = 4 + 7 + 8.1 = 19.1 . . . units