The shortest leg of a right triangle is 1 inches shorter than the other leg. the hypotenuse of this triangle is 5 inches. what are the lengths of the two legs of this triangle?

the shortest leg is __ inches long.
the other leg is long.
show your work

The shortest leg is _3_ inches long.

The other leg is __4_inches long.

Step-by-step explanation:

The legs of the right angle triangle are x inches, x-1 iinches, 5inchrs

From Pythagoras rule,

x^2+(x-1)^2=25

2x^2-2x-24=0

x^2-x-12=0

x=4 or -3

The shorter leg =4-1=3

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point