The hypotenuse of a right triangle is 45 inches, which one of the sides being 18 inches. find the midding side length. round to the nearest hindredth if necessary.

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

The answer is:

The missing side length is 41.24 inches.

Since we are working with a righ triangle, to solve this problem we can use the Pythagorean Theorem.

The Pythagorean Theorem states  that:

We are given that:

So, isolating the missing side and substituting the given information, we have:

Have a nice day!

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.