All categories

3 years ago

A triangle has sides with lengths of 13 kilometers, 18 kilometers, and 20 kilometers. Is it a right triangle?

Mathematics

1 answer:

baherus [9]3 years ago

3 0

Answer:

No, it is not a right triangle

Step-by-step explanation:

<em>Lets explain how to check the sides lengths which formed a right angled triangle </em>

In triangle ABC :

If AC is the longest side in length

If (AC)² = (AB)² + (BC)²

Then, AB , BC , AC formed a right angle triangle in ∠B (opposite to AC) is a right angle and AC is the hypotenuse

The lengths of the sides of the triangle are 13 km, 18 km, 20 km

∵ The length of the longest sides is 20 km

- Find its square

∵ (20)² = 400

∴ The square of the length of the longest side is 400

∵ The length of the shortest sides are 13 km and 18 km

- Find the sum of their squares

∵ (13)² + (18)² = 169 + 324 = 493

∴ The sum of the squares of the lengths of the shortest sides is 493

∵ 400 ≠ 493

∴ The sides of 13 km, 18 km and 20 km <em>CAN NOT</em> be sides of

a right triangle

No, it is not a right triangle

You might be interested in

Solve for x: one over five (5x + 12) = 18 (2 points)

Usimov [2.4K]

If you mean the equation 1/5 (5x +12) =18 then your answer would be x=15.6 or in the exact form of 78/5

Explanation : Start off with distributive property 1/5•5x and 1/5 •12, your equation should end up with 1x +2.4 =18 continue by using the 2.4 and doing the opposite, you will have 1x+2.4-2.4=18-2.4, after calculation you will have 1x=15.6 ,you can finish there or you can divide the 15.6 by one witch is still 15.6 , therefore getting your answer that is x=15.6

8 0

2 years ago

Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?

Anna11 [10]

300 milliliters in each container because 2.1 liters is 2100 milliliters and 2100/7 is 300

6 0

2 years ago

You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. You deposit the $1 at

Fiesta28 [93]

Answer:

option (c) $18,032

Step-by-step explanation:

Data provided in the question;

Amount deposited at the end of each day = $1

Interest paid = 8% compounded daily = 0.08

Daily interest rate = $\frac{\textup{0.08}}{\textup{365}}$ = 0.000219

Duration = 20 years = 20 × 365 days = 7300 days

Now,

the Future value is given as:

Future value = Part payment × $\frac{(1+r)^n-1}{r}$

here, r is the interest rate

n is the duration

thus,

Future value = $1 × $\frac{(1+0.0002192)^{7300}-1}{0.0002192}$

Future value = $18033.56 ≈ $18,032

Hence, the correct answer is option (c) $18,032

7 0

3 years ago

The quotient of x and 3 decreased by the sum of x and y

Vinil7 [7]

Shoe lase method

You can find the answer by using the shoe lase method.

4 0

3 years ago

Read 2 more answers

Five balls are chosen from a bag of eight blue balls, six red balls, and five green balls. How many of these five-ball selection

Harlamova29_29 [7]

Using the combination formula, it is found that six of these five-ball selections contain exactly five red balls.

The order in which the balls are selected is not important(as balls A, B, C, D and E is the same outcome as balls B, A, C, D and E), hence the <em>combination formula</em> is used to solve this question. If the order was important, then the permutation formula would be used.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, five red balls can be chosen from a set of six, hence the number of selections is the combination of 5 elements from a set of 6, that is calculated from the formula given above:

$C_{6,5} = \frac{6!}{1!5!} = 6$

Hence six of these five-ball selections contain exactly five red balls.

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

4 0

1 year ago