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the base of an isosceles triangle is 6m less than two times one side. the base is 24m.what is the area of the triangle?

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  • 2 months ago

    The base is 24m.

    That's 6 less than 30m which we're told is two times one side --> 15m

    So the two equal sides are 15m.

    Split the isosceles triangle in two, you'll have two right triangles, with a leg of 12m (half of 24m) and a hypotenuse of 15m. Using the 3-4-5 ratio, the height of the triangle is 9m.

    Summary:

    base = 24m

    height = 9m

    Area = ½(24m * 9m)

    Area = 108m²

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