The idea being, when you run a perpendicular line to the base, from the right-angle in a right-triangle, like in this case, what you end up with is, three similar triangles, a Large triangle containing the two smaller ones, a Medium triangle and a Small one, check the picture below.
since all three are similar, we can use the proportions on the corresponding sides, as you see in the picture, the base of the triangle then will just be x + y.
2x + x - 1 x
= ------------------ * ---------
x(x - 1) 8
3x - 1
= --------------
8x - 8
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
160x∧5y³ = (x∧4y)b
b = (160x∧5y³)/ x∧4y)
b = 160xy²
Therefore, the base of the triangle is 160xy²
Answer:
4.) 12ft
Step-by-step explanation:
You solve the area of a square using the following equation:
Area of a square = <em>s</em>²
Plug in 144 for Area of a square:
144 = s²
Isolate the variable, s. Root both sides of the equation.
√144 = √s²
s = √144 = √(12 * 12) = 12
4.) 12ft is your answer.
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