Question

Find x. Please help!!!!!!!!!!!

Answer 1

Answer:

  4√6

Step-by-step explanation:

The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.

The Pythagorean theorem can be used to find x:

  5² + x² = 11²

  x² = 121 -25 . . . . . . subtract 25 from both sides of the equation

  x = √96 . . . . . . . . . take the square root

  x = 4√6 . . . . . . . . . simplify the radical