A triangle is a three-edged polygon with three vertices. The value of x is 6.
What is a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
The area of the triangle is half the product of the base of the triangle and the height of the triangle.
Given that base of the triangle is x+1, while the height of the triangle is x. Also, the area of the triangle is 21 units².
Area of triangle = (1/2) × height of the triangle × length of the base
21 = (1/2) × x × (x+1)
21 = (1/2)(x² + x)
21 × 2 = x² + x
42 = x² + x
x² + x - 42 = 0
x² + 7x - 6x - 42 = 0
x(x + 7) - 6(x + 7) = 0
(x + 7)(x - 6) = 0
x = -7, 6
Now, since the value of x can not be negative. Therefore, the value of x is 6.
Hence, the value of x is 6.
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