Question

Please help i need to find X.

Answer 1

(11√42)/2

Explanation:

Thanks to the given information we can say that the smaller leg of the left triangle is

(11√7)/2

while the other leg is

11/2 √7 * √3 = 11/2 √21

the triangle on the right has two congruent legs. For the Pythagorean theorem

x^2 = 2 (11/2 √21)^2

x^2 = 2 * 121/4 * 21

x^2 = 2541 / 2

x = √11^2 * 3 * 7/√2

x = 11√21/√2

x = (11√42)/2