# The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth. O O O O 3.1 inches 3.2 inches 10.0 inches 15.7 inches

The difference between the two possible  lengths of the third side of the triangle is:

3.2 inches

Step-by-step explanation:

The lengths of two sides of a right triangle are 5 inches and 8 inches.

This means that the third side could be the hypotenuse of the triangle or it could be a leg of a triangle with hypotenuse as: 8 inches.

Let the third side be denoted by c.

• If the third side is the hypotenuse of the triangle.

Then by using the Pythagorean Theorem we have:

• and if the third side i.e. c is one  of the leg of the triangle with hypotenuse 8 inches then the again by using Pythagorean Theorem we have:

Hence, the difference between the two possible lengths of the third side is:

which to the nearest tenth is: 3.2 inches

B) 3.2 inches

Step-by-step explanation:

did it on edge

## Related Questions

When 40% of the girls left the school assembly, the ratio of the number of boys to girls became 3 to 4. If there were w girls when the assembly started, what was the total number of boys when the assembly started?

I am pretty sure the answer is 15 boys at the beginning of the assembly.
That would mean that there were 28 girls there, and if 40% of them left, which would mean that 8 left, leaving 20 girls. This would leave the assembly with a 3:4 ratio of boys to girls.
There were 15 boys at the beginning of the assembly and 28 girls

So far, Carmella has collected 14 boxes of baseball cards. There are 315 cards in each box. Carmella estimates that she has about 3,000 cards, so she buys 6 albums that hold 500 cards each. a. Will the albums have enough space for all of her cards? Why or why not?
b. How many cards does Carmella have?
c. How many albums will she need for all of her baseball cards?

4410 cards, 9 albums

Step-by-step explanation:

Number of cards in a box = 315

Number of boxes = 14

b) Total number of cards =  Number of boxes × Number of cards in 1 box

=

a) Carmella estimated she had 3,000 cards so she bought a 6 album of 500 cards.

No, 6 albums are not enough as she estimated wrong number of cards. There are total of 4410 cards but she estimated it to be 3000 cards.

c) Total number of albums required =

Thus, she will require 9 albums to put all her cards.

Mason is skiing with friends he starts at an elevation of 420 feet he descends 600 feet down the mountain into a valley what is his elevation when he stops