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What is the value of x? Show all of your work.

What is the value of x? Show all of your work.-example-1
User Antiohia
by
7.2k points

1 Answer

1 vote

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

User Parameswar
by
6.9k points