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The base of a triangular sail is 10m shorter than its height. The area is 72m². Find the base and height o the sail.

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Final answer:

To find the base and height of the triangular sail, we can use the area formula of a triangle.

Step-by-step explanation:

Let's assume that the height of the triangular sail is h meters. According to the given information, the base is 10 meters shorter than the height, so the base can be represented as h - 10. The area of a triangle is given by the formula 1/2 × base × height. Substituting the given values, we get:

1/2 × (h - 10) × h = 72

Multiplying through by 2:

h2 - 10h = 144

Arranging the equation:

h2 - 10h - 144 = 0

This is a quadratic equation. By factoring or using the quadratic formula, we can find the values of h that satisfy this equation.

Once we find the value of h, we can substitute it back into the expression for the base (h - 10) to find the base of the sail.

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