Atriangle has base 2x and height x – 3. the area of the triangle is 10 square inches. complete the work to find the dimensions of the triangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 0 (x – 5)(x + 2) = 0 what are the base and height of the triangle? the base is 10 inches and the height is 2 inches. the base is 2 inches and the height is 10 inches. the base is 5 inches and the height is 2 inches. the base is 10 inches and the height is 1 inch.

base 5 inches and height 2 inches

Step-by-step explanation:

Area of triangle =

Using this formula and the info on base=2x and height = x-3,

we obtain:

Solve the quadratic equation:

Therefore there are two solutions to this equation:

One when x=5  and the other when x=-2

This last option has no physical meaning because the base (or for the matter any side of a triangle) cannot be a negative number.

Therefore x=5

That means that the base (which is 2 times x) must be 2 times 5 = 10 inches,

and the height (which is x-3) must be 5 minus 3 that gives 2 inches

the answer for this question is 38

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