1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nookie1986 [14]
3 years ago
5

Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha

t is the perimeter of the largest triangle?
Mathematics
1 answer:
Oliga [24]3 years ago
4 0

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}

k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}

Length of other two sides,

10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

You might be interested in
1.In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four sc
sertanlavr [38]
Four scorn and 7 years =87
4x+7=87
3 0
3 years ago
Read 2 more answers
Please help !! using the image above match each pair of angles with the correct relationship
FromTheMoon [43]

9514 1404 393

Answer:

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal.

"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.

"Exterior" means the angles are outside the parallel lines.

"Interior" means the angles are between the parallel lines.

"Corresponding" means the angles are in the same direction from the point of intersection.

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

4 0
3 years ago
How to calculate the gradient of a line
Vikki [24]
The gradient of a line can be calculated using the formula

\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

where (x_1,y_1) and (x_2, y_2) are two points that the line passes through
4 0
3 years ago
In trainable abc Lehigh trigonometric ratio equals 3/2?
Harman [31]

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

\tan\alpha=\dfrac{opposite}{adjacent}

\dfrac{3}{2}=\dfrac{opposite}{adjacent}\to opposite=3,\ adjacent=2

therefore your answer is:

C.\ \tan C

6 0
3 years ago
How do you multiply a whole number by a decimal
stepladder [879]

Answer:

you must line up the decimals and multiply regularly

Step-by-step explanation:

line up the numbers and multiply straigth down

5 0
3 years ago
Other questions:
  • Whats the pattern that comes. Next please help
    15·2 answers
  • Ashley took $20 out of her savings account each week on Friday how many weeks ago did she have at least $250 in her account
    11·2 answers
  • 2. The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider th
    9·1 answer
  • It takes 2 1/2 posterboard to display half of your project how many poster boards will you need for your entire project
    11·1 answer
  • Number 10: What is 18.9 to the 4th power? Round off to the nearest decimal.
    8·1 answer
  • X = -0.25 and y = -6<br> Solve the expression: xy
    15·1 answer
  • I really need help on this it’s really urgent.<br> Thank you :)
    5·1 answer
  • Please help. I don't understand anything.
    7·2 answers
  • What is the answer to y=-2/3+b
    14·1 answer
  • Hello the question is in the picture ( only C)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!