Answer:
x = 7
Step-by-step explanation:
Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.
Using Pythagoras theorem, we have
8^2 = x^2 + 3^2
8 x 8 = x^2 + 3 x 3
64 = x^2 + 9
Subtract 9 from both sides
64 - 9 = x^2 + 9 - 9
55 = x^2
X^2 = 55
x = squared root of 55
x = 7.4
x = 7
