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

there 12 beads on the bracelet. 8 of the beads are purple. what percent of the beads are purple
¿Dónde compras los calcetines y las botas?
Which has greater kinetic energy, a car traveling at 30 km/hr or a car of half the mass traveling at 60 km/hr?
Why is the upper layer of desert soil rich in minerals?
Hinduism grew from which of the following preclassical religions? A.Buddhism B.Islam C.The Vedic religion D.Christianity
At a price of $65, consumers demand 650 pairs of shoes, and sellers supply 650 pairs of shoes. The price of $65 (where quantity supplied and quantity demanded b
What it called when the king in chess can not move anywhere?
50 tens times 4 hundreds equals 40 tens times 5 hundreds
Writing a movie review is an example of a(n) ________.
Describe how napoleon's invasion and conquest of spain in the peninsular war of 1808 triggered the revolutions in latin america