The base of a triangular sail is 16 m shorter than its height. The area is 96 m squared . Find the base and height of the sail.
1 answer:
Answer:
Step-by-step explanation:
Lets start by labeling the triangle. Lets say the height is x and the base is x-16.
Next, we know the area of the triangle is 96, so we should make an equation. The area (96) of a triangle is (b*h)/2. So lets substitute.
96=[(x-16)*x]/2
Now, we should simplify the equation. Let us start by moving the /2 to the other side and making it *2.
192=(x-16)*x
Open parenthesis and get
192=x^2-16x
simplify and get
x=24
x is the height so the base must be x-16.
base=8, height=24
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