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

Which product of cellular respiration is used by the human body for energy? (A)oxygen (B)ATP (C)sunlight (D)CO2
Sandy has 16 roses, 8 daisies, and 32 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type
during the neolithic revolution production of a food surplus led directly to ?
What is 1/5 divided by 5/7
True or False: There are four stages of the writing process. a. .True b. .False
what is the simplest form of 24/126
Hormones have a powerful effect on A. emotional and social development. B. the development of writing and reasoning skills. C. intelligence and abstract reason
If an oak tree is 5 feet and grows 6 every year write the equation
How many feet are there in 24 yards? A. 72 B. 8 C. 2 D. 288
The Aztecs and the Incas were united in their opposition to the 28. A. True B. False