**Problem 14: Use the Pythagorean theorem to find the measure of side \( x \).**A right triangle is shown with one side measuring 20 cm, another side measuring 15 cm, and the hypotenuse labeled \( x \).**Answer Choices:**- A) 35- B) 25- C) 625- D) 45### ExplanationIn a right triangle, the Pythagorean theorem is expressed as:\[ a^2 + b^2 = c^2 \]Where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the length of the hypotenuse. Here, the lengths of the legs are 15 cm and 20 cm, and \( x \) is the hypotenuse.Substitute the given lengths into the equation:\[ 15^2 + 20^2 = x^2 \]Calculate:\[ 225 + 400 = x^2 \]\[ 625 = x^2 \]Taking the square root of both sides gives:\[ x = 25 \]Therefore, the correct answer is **B) 25**.

Name: **Problem 14: Use the Pythagorean theorem to find the measure of side
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Problem 14: Use the Pythagorean theorem to find the measure of side \( x \).**A right triangle is shown with one side measuring 20 cm, another side measuring 15 cm, and the hypotenuse labeled \( x \).**Answer Choices:**- A) 35- B) 25- C) 625- D) 4