1 of 11 A right triangle is drawn on graph paper. The length of the legs measure 1.5 centimeters and 2 centimeters. The length of the hypotenuse measures 2.5 centimeters. Write an equation using the triangle's side lengths to show the Pythagorean Theorem holds true for the triangle. Enter the correct answer in the box.​

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²