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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?
- PuzzlingLv 72 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.
base = 24m
height = 9m
Area = ½(24m * 9m)
Area = 108m²