Question

Find the value of x and the value of y.

Answer 1

Answer:

C.

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)