SOLUTION: It determines the area of the next triangle: Opposite: 2x Adjacent: 4x Hypotenuse: 15 a) 60 m² b) 90 m² c) 120 m² d) 225 m² e) 45 m

Algebra ->  Equations -> SOLUTION: It determines the area of the next triangle: Opposite: 2x Adjacent: 4x Hypotenuse: 15 a) 60 m² b) 90 m² c) 120 m² d) 225 m² e) 45 m      Log On


   

Question 1153299: It determines the area of the next triangle:
Opposite: 2x
Adjacent: 4x
Hypotenuse: 15
a) 60 m²
b) 90 m²
c) 120 m²
d) 225 m²
e) 45 m
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Opposite: a=2x
Adjacent: b=4x
Hypotenuse: c=15
c%5E2=a%5E2%2Bb%5E2
15%5E2=%282x%29%5E2%2B%284x%29%5E2
225=4x%5E2%2B16x%5E2
225=20x%5E2
225%2F20=x%5E2
x%5E2=11.25
x=sqrt%2811.25%29
x=3.354
=>a=2%2A3.354=6.71 and b=4%2A3.354=13.42
the area of the triangle:
A=%281%2F2%29ab
A=%281%2F2%296.71%2A13.42
A=45.01068
A=45m%5E2

answer: e) 45 m-> must be m%5E2, it's area
e) 45m%5E2