memeshetworth11
memeshetworth11 memeshetworth11
  • 02-03-2021
  • Mathematics
contestada

The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.

Respuesta :

andrewyang1818 andrewyang1818
  • 02-03-2021

Answer:

5 and 12 inches

Step-by-step explanation:

Let the shorter leg be x.

13²=x²+(x+7)²

169=x²+x²+14x+49

169=2x²+14x+49

120=2x²+14x

120=2x(x+7)

60=x(x+7)

60=x²+7x

x=5

shorter length=5, longer length=12

Answer Link

Otras preguntas

Why throughout human history people been so drawn to fiction
How to find the weight of a object in lb
PLEASE HELP ASAP!!!!!! What is the surface area of the pyramid?
how to solve this question
Which is the graph of the linear inequality y ≥ −x − 3?
which minor party’s role in the 2000 presidential election contributed to the defeat of the democratic party candidate?
Find the value of 9m/3^-2=9^-4
why was moses an important israelite leader?​
Which of the following is not an acceptable way to make a compound sentence? a. to use a colon b. to use a semicolon c. to use a comma and a coordinat
Please fill in the blank to complete the command if you were talking to a friend. Leave the house at nine. ¡______ de la casa a las nueve!