maganns14
Answered

△BCD ​ is a right triangle. The length of the hypotenuse is 20 centimeters. The length of one of the legs is 15 centimeters. What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box



Answer :

a² + b² = c²

15² + b² = 20²

b² = 20² - 15²

b² = 175

b = √175

b = 13.2 (Rounded to the nearest tenth)

Answer:

13.2 cm

Step-by-step explanation:

b = [tex]\sqrt{c^{2} - a\\^{2} }[/tex]

b = [tex]\sqrt{20^{2} - 15\\^{2} }[/tex]

b = [tex]\sqrt{400-225\\} \\[/tex]

b = [tex]\sqrt{175}[/tex]

b = 13.228

b= 13.2 cm

:) good luck on the rest!