Question

What is the area of the right triangle with sides 10,26 and 24

Answer 1

Answer:

$\boxed {\boxed {\sf 120 \ units^2}}$

Step-by-step explanation:

We are asked to find the area of a triangle. The formula for calculating this is:

$a= \frac{1}{2} bh$

This is a right triangle, so the base and height are the legs of the triangle. The 2 smallest sides are the legs because the longest side is the hypotenuse. Since the side lengths are 10, 26, and 24, the base and height must be 10 units and 24 units.

• b= 10 units
• h= 24 units

Substitute these values into the formula.

$a= \frac{ 1}{2} ( 10 \ units)(24 \ units)$

Multiply the numbers in parentheses.

$a= \frac{1}{2}(240 \ units^2)$

Multiply by 1/2 or divide by 2.

$a= 120 \ units^2$

The area of the triangle is 120 units squared.

Answer 2

Answer:

Area = 120

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 (10)(24)

Area = 1/2 (240)

Area = 120

The area of the right triangle is 120