All categories

3 years ago

What is the minimum and maximum whole number side length for △ABC with given side lengths of 9 cm and 11 cm? Please explain why

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

Step-by-step explanation:

We would assume that triangle ABC is a right angled triangle. This means that we can apply Pythagoras theorem in determining the unknown side length.

For the case of the minimum side length, we would assume that the unknown length, L is one of the shorter legs of the triangle. By applying Pythagoras theorem, it becomes

11² = 9² + L²

L² = 121 - 81 = 40

L = √40 = 6.32

For the case of the maximum side length, we would assume that the unknown length, L is one of the hypotenuse of the triangle. By applying Pythagoras theorem, it becomes

L² = 9² + 11²

L² = 81 + 121 = 202

L = √202 = 14.21

The minimum side length is 6.32 and the maximum side length is 14.21

You might be interested in

2072 divided by 37! Pleaseeeeeeeeee

icang [17]

Answer:

56 is the answer to your question

6 0

3 years ago

Read 2 more answers

tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how

adelina 88 [10]

Answer:

23.3

(or $4\sqrt{34}$ (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

$a^{2} +b^{2} =c^{2}$

Insert values:

$12^{2} +20^{2} =c^{2}$

Solve for c:

Evaluate exponents

$144+400=c^2$

Simplify addition

$544=c^2$

Find the square root of both

$\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3$

The fence needs to be approximately 23.3 m.

5 0

3 years ago

Read 2 more answers

Assume that by continuing your education, you increased your yearly earning potential from $21,484 to $39,746. If the additional

Ede4ka [16]

Answer:

By continuing my education I increased my earning potential from $21,484 to $39,746 a year. That's a difference of $18262 a year.

If the additional education costs $18,000, then in one year it will pay for itself.

7 0

4 years ago

Read 2 more answers

Five concert ticket cost $181.25. What is the cost of 8 concert tickets?

Roman55 [17]

Answer:$290

Step-by-step explanation:

$181.25/5=$36.25x8=$290

6 0

3 years ago

Read 2 more answers

Mine A is 225 feet underground and Mine B has an elevation of -223 feet. Which mine is further underground

LUCKY_DIMON [66]

Answer: Mine A

Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.

3 0

3 years ago

Read 2 more answers