Question

Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest tenth if needed. 1.None of these 2. 13 cm 3. 5.1 cm 4 21.3 cm 5. 26.4 cm

Answer 1

Answer:

The answer is number 4. 21.3 cm

Step-by-step explanation:

In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.

We substitute the values in the Pythagorean Theorem

c² = a² + b²

We clear the equation for b

b² = c² - a²

b² = (24)² - (11)²

b² = 576 - 121

b² = 455

√b² = √455

b = 22.3 cm