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butalik [34]
3 years ago
15

Find the value of x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

<em>108 = 1/2 * x * (x + 6)</em>

<em>x² + 6x = 216</em>

<em>x² + 6x - 216 = 0</em>

<em>x² + 18x - 12x -216 = 0   (Splitting the middle term)</em>

<em>x(x + 18) - 12(x + 18) = 0</em>

<em>(x + 18) (x - 12) = 0</em>

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

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