Answer:
The length of the missing side is 41.24 inches
Step-by-step explanation:
* Lets talk about the Pythagoras theorem
- It used in the right angle triangle
- The hypotenuse is the opposite side to the right angle and it's the
longest side in the triangle
- The two other sides in the right angle triangle are the legs of
the right angle
- If the length of the hypotenuse is c units and the lengths of the
two legs of the right angle area a and b
∴ a² + b² = c² ⇒ c = √(a² + b²)
* Now lets solve the problem
∵ The length of the hypotenuse = 45 inches
∵ The length of one legs of the right angle = 18 inches
- Lets use the Pythagoras theorem
∴ c² = a² + b²
∴ 45² = 18² + b² ⇒ subtract 18² from both sides
∴ b² = 45² - 18² = 2025 - 324 = 1701 ⇒ take square root for both sides
∴ b = √1701 = 41.24 inches
