What is the area of the right triangle shown below?

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.