Question

Solve for x. Leave your answer in the simplest form.

Answer 1

Apply Pythagorean theorem

• H²=9²+5²
• H²=81+25
• H²=106

So

• x²=106+4²
• x²=106+16
• x²=122
• x=√122
• x=11.04≈11

Answer 2

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)