Question

write an equation to solve for x. do not solve!
(right triangle with right angle at c, side bc = 90, hypotenuse ab = 106, side ac = x)

Explanation:

Step1: Identify triangle type

It's a right - triangle (∠C = 90°), so Pythagorean theorem applies.

Step2: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = x\), \(b = 90\), \(c = 106\). So the equation is \(x^{2}+90^{2}=106^{2}\).

Answer:

\(x^{2}+90^{2}=106^{2}\)