Answer:
x = 9 cm
Explanation:
The value of 'x' can be found using the Pythagorean Theorem. This theorem applies to right triangles and uses the formula:
a² + b² = c², where 'a' and 'b' represent the legs of the triangle and 'c' represents the hypotenuse (diagonal)
Given the values from the triangle:
x² + 6² = (√117)² or x² + 36 = 117
Subtract 36 from both sides: x² + 36 - 36 = 117 - 36 or x² = 81
Take the square root: √x² = √81
x = 9 cm