asked 30.5k views
23 votes
If the area of a right triangle is 20. And the short base leg is 3 units shorter than the longer leg. What is the measurement of the base legs?

asked
User Roki
by
8.5k points

1 Answer

3 votes

Answer:

Shorter leg = 5

Longer leg = 8

Explanation:

Shorter leg = 3

Longer leg = x+3

area = (x * (x+3)) / 2 = 20

x² + 3x -40 = 0

(x + 8) (x - 5) = 0

x = -8 or x = 5 ... leg length > 0 x = 5

Shorter leg = 5

Longer leg = 8

answered
User Nordine
by
7.0k points
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