Question

I need help. Can u help me solve for x?

Answer 1

`x = \sqrt {40}`

Explanation:

Given is an isosceles triangle, dotted line is the bisector of top angle which is also perpendicular bisector of the base of the triangle. Hence, by Pythagoras theorem:

`{x}^(2) = {6}^(2) + ({ (4)/(2) })^(2) \\ = 36 + 4 \\ = 40 \\ \therefore \: x = √(40) \\`

Answer 2

D. x = sqrt(52).

Explanation:

Since the line measuring 6 units bisects the top angle, there are two right angles. We can use the Pythagorean Theorem to solve for x.

a^2 + b^2 = x^2

4^2 + 6^2 = x^2

16 + 36 = x^2

52 = x^2

x = sqrt(52)

x = sqrt(2 * 2 * 13)

x = 2sqrt(13)

x = 7.211102551.

Hope this helps!