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

What are the advantages and disadvantages of globalization
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
What are the advantages and disadvantages of globalization
What are the advantages and disadvantages of globalization
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
What are the advantages and disadvantages of globalization
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?