Question

question 1
2 pts
image of a right triangle with legs a, b and hypotenuse c
use the pythagorean theorem to find c if a = 35 and b =15. (round to 2 decimal places.)
the triangle is not drawn to scale!
38.08

Explanation:

Step1: Recall Pythagorean Theorem

The Pythagorean Theorem for a right triangle is \( C = \sqrt{A^2 + B^2} \), where \( A \) and \( B \) are the legs, and \( C \) is the hypotenuse.

Step2: Substitute values of A and B

Given \( A = 35 \) and \( B = 15 \), substitute into the formula: \( C = \sqrt{35^2 + 15^2} \).

Step3: Calculate squares

Calculate \( 35^2 = 1225 \) and \( 15^2 = 225 \).

Step4: Sum the squares

Sum the results: \( 1225 + 225 = 1450 \).

Step5: Take the square root

Take the square root of 1450: \( C = \sqrt{1450} \approx 38.08 \).

Answer:

38.08