Question

Find the perimeter and area of the given triangle. Round to the nearest tenth. A (‐1, 3 ), B( 8, 3), C( ‐1, 5)

(MUST SHOW WORK)

Answer 1

AB:-

• √(8+1)²+(3-3)²
• √9²
• 9

BC

• √(8+1)²+(3-5)²
• √9²+2²
• √81+4
• √85
• 9.2

AC

• √(-1+1)²+(3-5)²
• √2²
• 2

Perimeter

• 9+9.2+2
• 20.2units

Area

• 1/2(2)(9)
• 9units²

Answer 2

• 9 unit²

Explanation:

Plot the given points:

• A (‐1, 3 ), B( 8, 3), C( ‐1, 5)

We see ABC is a right triangle.

Find the length of AB and AC:

• AB = 8 - (-1) = 9
• AC = 5 - 3 = 2

Find the area:

• A = (1/2)bh
• A = (1/2)*2*9 = 9