Question

Find the value of x in the isosceles triangle shown.​

Answer 1

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