SOLUTION: will you please help me with this word problem. The area of a right triangle is 250in2.find the lengths of its legs if one leg is 5 inches longer than the other.

Question 24078: will you please help me with this word problem. The area of a right triangle is 250in2.find the lengths of its legs if one leg is 5 inches longer than the other.
Found 2 solutions by Paul, josmiceli:
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
length No. 2= 5+x
Length no.1 = x

area of right triangle =

Use quadratic Forumla:
in a= 1, b = 5 and c=-500

Add:

x=20
20+5=25
And
=250

Hence the one side of the right triangle is 20cm and the other side is 25 cm.
Paul.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The formula for area is:
where b = base and h = height
Let the shorter leg = b
Then the longer leg = h = b + 5

this is true if b =20 or if b = -25
if b = 20, then h =25
then solve for A
A = 250
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