Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12
(4,2) is is the distance from these coordinates
