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:

Lets explain how to check the sides lengths which formed a right angled triangle

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 CAN NOT be sides of

a right triangle

No, it is not a right triangle

You might be interested in

Where in the real-world is the Pascal Triangle used? Provide an example.

cupoosta [38]

Answer:

There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.

You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.

I hope this helped.

6 0

3 years ago

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this

Westkost [7]

Answer:

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

$E(X)=np\\\\=250\times 0.96\\\\=240$

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

$\sigma=\sqrt{np(1-p)}, \ \ \ \\\\=\sqrt{250\times 0.96(1-0.96)}\\\\\\=3.098$

Hence, the standard deviation of germination is 3.098

8 0

3 years ago

there are 305 crayons in a box and 213 crayons on the floor. About how many fewer than 1000 crayons are there?estimate Then solv

OleMash [197]

305+213=518

1000-518= 482

The answer is there is 482 less crayons then a thousand

6 0

3 years ago

We add the scale factor to each length of an image to get the scaled copy. -True or False?

Anit [1.1K]

Answer:

false

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

original dimensions / scale of the drawing = dimensions of the scale drawing

To scale an image, divide the original length by the scale

for example the length of the image is 100 and the scale factor is 4

the length of the scale copy = 100/4 = 25

4 0

2 years ago

Pls help!! Find h. 10 cm h h = ✓ [?] cm .... 6 cm Enter

OLEGan [10]

Answer:

h = √91 cm

Step-by-step explanation:

Apply pythagorean theorem, a² + b² ° c².

Where,

a = ½(6) = 3 cm

b = h

c = 10 cm

Plug in the values

3² + h² = 10²

9 + h² = 100

9 + h² - 9 = 100 - 9

h² = 91

h = √91 cm

4 0

2 years ago

Read 2 more answers