Two triangles are similar. The sides of the first triangle are 8,10 and 12. The smallest side of the second triangle is 24. Find the perimeter of the second triangle.

Answers

Answer 1

Answer:

The perimeter of the second triangle is 90 units.

What are similar figures?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

$L = k * M$

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

For this case, the two considered triangles are similar. Thus:

A side of first triangle = k times corresponding side of its similartriangle

where k is the scale factor, constant for one pair of similar triangles.

We're given that:

Sides of first triangle are of 8,10 and 12 unit length.

Smallest side of second triangle is of 24 units.

Now, smallest side of first triangle will correspond to the smallest side of its similar triangle.

For first triangle, the smallest side is of 8 units (8 is smaller than 10 and 12, the other two sides).

Let the sides of second triangle be of S = 24 units, M units, and L units.

where M is middle sized side and L is largest side of second triangle.

Let the scale factor be 'k'.

Then, we get:

Smallest side of first triangle = k × smallest side of its similar triangle

$8 = k * 24\n\nk = (8)/(24) = (1)/(3)$

Similarly, middle sized side of first triangle = (1/3) × middle sized side of second triangle

$10 = k * M = (1)/(3) * M\n\nM = 3 * 10 = 30$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Largest side of first triangle = (1/3) × Largest side of second triangle

$12 = k * L = (1)/(3) * L\n\nL = 3 * 12 = 36$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Perimeter of the second triangle = sum of length of its sides

= S + L + M = 24 + 30 + 36 = 90 units.

Thus, the perimeter of the second triangle is 90 units.

Learn more about scale factor here:

brainly.com/question/8765466

Answer 2

Answer: so 8*3=24, so multiply all of the sides by 3,
the other 2 are 30 and 36

Related Questions

Help please i need the answer
The ending time is 10:08 and the elapsed time is 30 minutes what is the starting tome
What is the value of y in the equation 4(5y –8 –2) = 185 –15?
I'm struggling on this, please can someone help me?
Is 90209 a perfect square? Use the long division method to find out. If yes, find its square root using long division. If no, write the remainder that you obtain using long division.

3 2/5 times 4/7 times 1/2 equals

Answers

3 2/5×4/7×1/2=68/35×1/2=34/35

Therefore, the answer is 34/35

HOPE THIS HELPS!!!!!!!!

Ok so first you would have to do this...1. Turn 3 2/5 into a improper fraction: 3x5=15+2=17/52. Do 17/5 x 4/7: 17x4=68 and 5x7=35 so that would be 68/353. Then do 68/35 x 1/2: 68x1=68 and 35x2=70 so that would be 68/704. Finnaly you would reduce which means 68/70: 34/35So your answer would be 34/35

Mrs. Klein surveyed 240 men and 285 women about their vehicles. Of those surveyed, 155 men and 70 women said they own a red vehicle. I g a person is chosen at random from surveyed, what is the probability of choosing a women or a person who does not own a red vehicle?

Answers

i attached the answer

Answer:

The answer is 74/105

Step-by-step explanation:

6x - 2y + x + 5y plz answer quick.

Answers

So,

6x + -2y + x + 5y

Collect Like Terms

7x + 3y

7x + 3y

so add like terms
6x-2y+x+5y=6x+x+5y-2y
7x+3y

A straight line has an equation y= 4x=5 Write down the equation of the straight line that is parallel to y=4x-5 and passes through the point (0,3).

Answers

Parallel lines have same slope but different y-intercept. So they gave the equation y=4x-5 and the (0,3) where 3 is the y-intercept.

So the equation would be y=4x+3. HOPE THIS HELPS!!!!!!!!

If it is parallel then it has the gradient which is 4 so the equation will be
y = 4x + ?

now to find the y intercept, using the coordinates, x is already 0 so the y intercept is 3

meaning the equation is
y = 4x + 3

The difference of six times a number and 7 is -49

Answers

If you would like to find the number, you can calculate this using the following steps:

n = ? ... a number

the difference of six times a number and 7 is -49
6 * n - 7 = - 49
6 * n = - 49 + 7
6 * n = - 42
n = - 42 / 6
n = - 7

The correct result would be - 7.

What three even numbers add up to 54

Answers

The way I like to do these is like this ... without algebra:

-- If the 54 were split up into three equal pieces,
each piece would be 1/3 of 54 = 18 .

-- Can you take three equal size-18 pieces and change them in
such a way that they're all different but their sum doesn't change,
and they still add up to 54 ?

-- How about like this:
Take 2 away from one piece and glue it onto a different one.
Now they still make the same 54 when you put them all into the same pot.
But now they're all different ... instead of 18, 18, 18, now you have 16, 18, 20.

Look ma ! No algebra !

x = lowest
x+2 = middle
x+4 = largest

x + x+2 + x + 4 = 54

Combine like terms to get 3x + 6 = 54
Subtract 6 (both sides) -6 -6
3x = 48
divide by 3 (both sides) 3 3

x = 16 (smallest even number) x+2 = 18 (middle even number and x+4 = 20 (largest even number) Add them up 16+18+ 20 and sure enough, you get 54

Other Questions

Which statement is true?A. 6 > 6B. –8 < –3C. 5 < –6D. –12 > –6

Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -8x^2 + 8x + 5.

The probability that a train leaves on time is 0.8. The probability that the train arrives on time and leaves on time is 0.24. What is the probability that the train arrives on time, given that it leaves on time?0.3 0.8 0.16 0.24

A road crew must repave a road that is 3/5 miles long. They can repave 1/15 miles each hour. How long will it take the crew to repave the road?