Question

Question 9 options:

Answer 1

Answer:

• area = 14 square units
• perimeter = 19.1 units

Step-by-step 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