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 of the following is a TRUE statement? a. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one to a hot one, dep

Water particles adhere tightly to soil particles due to _____. a. adhesive properties of minerals in the soil b. hydrogen bonding with negative charges on soil

Betty has 36 stamps in her collection she puts 6 stamps on each page of her collection book how many pages does she have

can you shade the venn diagram by (A intersection B)intersection C

9.4(3.5 - 2.6x) = -0.4(5.5 + 4.85x)

does the fact that Britain and Japan are islands enable or deterred migration to and from those places? explain

solve using substitution -9x+7y=-15 and -8x+y=18

Solve for (d). 4d−4=5d−8 d= ?

Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5 X greater than or equal to 0

Assume net income was $210,000, depreciation expense was $6,200, accounts receivable decreased by $11,500, and accounts payable decreased by $3,000. The amount