Problema Solution
Solve using the five step method:
The area of a right triangle is 250 in sq.
Find the lengths of its legs
if one leg is 5 inches longer than the other.
Answer provided by our tutors
Starting with the formula for the area of a triangle:
A = 250 sq.in.
let b = x, then h = x+5, so...
Multiply both sides by 2.
Perform the indicated multiplication on the right side.
Put this into the standard form for quadratic equations () by subtracting 500 from both sides.
Factor this trinomial.
Apply the zero products principle.
or
or Discard the negative solution as side lengths are positive.
inches, and...
inches.
The legs are: 20 inches and 25 inches.
Check:
sq.in.