Question

One leg of a right triangle is 9 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number. 25 units 18 units 13 units 3 units

Answer 1

Explanation:

use Pythagorean theorem

c = 16

a = 9

`{a}^(2) + {b}^(2) = {c}^(2) \\ {9}^(2) + {b}^(2) = {16}^(2) \\ 81 + {b}^(2) = 256 \\ {b}^(2) = 175 \\ b \: = 13.22 \\`

or you can round it to 13

#CMIIW

Answer 2

the length of the other leg is 13 units.

Explanation:

The formula is:

a² + b² = c²

where a and b are the lengths of the legs and c is the length of the hypotenuse.

To find the length of the other leg, you can use the following steps1:

Identify the given values and plug them into the formula. In this case, you know that one leg is 9 units long and the hypotenuse is 16 units long. Let a = 9 and c = 16. Then you have:

9² + b² = 16²

Simplify and solve for b. To do this, you need to isolate b by subtracting 9² from both sides and then taking the square root of both sides. You get:

b² = 16² - 9² b² = 256 - 81 b² = 175 b = √175

Round to the nearest whole number. Since √175 is not a whole number, you need to round it to the nearest integer. You can use a calculator to find that √175 is approximately 13.23. The closest whole number is 13, so you round down.