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
Sav [38]
3 years ago
7

Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is

the length of QR in cm?
a) 6
b) 8
c) 10
d) 12
Mathematics
2 answers:
Scilla [17]3 years ago
8 0
I think the answer is A but i could be wrong
victus00 [196]3 years ago
4 0

Answer:

6 cm (Option A)

Step-by-step explanation:

<u>GIVEN :-</u>

  • ΔPQR whose area is 32 cm² & has base QR.
  • ΔABC whose area is 8 cm² & has base BC = 3 cm
  • ΔPQR is an enlarged figure of ΔABC.

<u>TO FIND :-</u>

  • Length of QR

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.

=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2

<u>SOLUTION :-</u>

In the question it's given that ΔPQR is an enlarged figure of ΔABC.

⇒ ΔPQR is similar to ΔABC.

=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2

=>\frac{32}{8} = (\frac{QR}{3})^2

Root squaring both the sides ,

=> \sqrt{(\frac{QR}{3})^2}  = \sqrt{\frac{32}{8} }

=> \frac{QR}{3} = \sqrt{4} =2

Multiplying both the sides by 3 ,

=> \frac{QR}{3} \times 3 = 2 \times 3

=> QR = 6 \:cm

You might be interested in
The distance between Logan airport and Framingham a car can cover in 20 min. Logan Express bus can cover this distance in 30 min
Ronch [10]
That's a pretty confusing one. I think it's 10 minutes.
4 0
3 years ago
Ye has his own business. He checks his sales receipts three times a day, his afternoon sales were 50$ more than his mourning sal
IRINA_888 [86]

Answer:

The answer is 150

Step-by-step explanation:

It's 150 because ye evening sales are three times of his afternoon sales.

SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.

3 0
3 years ago
Read 2 more answers
A side of an equilateral triangle is 2/8 cm long. Draw a picture that shows the triangle
lianna [129]
Here you go. I hope this will help

7 0
3 years ago
A bag contains 19 white balls and 6 black balls. the balls are drawn with replacement. what is the expected number of white ball
MrRissso [65]
For every four white balls taken out one black ball is taken out so it would be the 52 white ball
3 0
3 years ago
(-3) - (-7) pls show your work​
anyanavicka [17]

Answer:

4

Step-by-step explanation:

-3-(-7) is the same as -3+7, which is also the same as 7-3, which is equal to 4

3 0
3 years ago
Other questions:
  • Please answer question now
    8·1 answer
  • If you know geometry please answer <br><br> -geometry
    13·2 answers
  • 2,3444.998 divided by 2,5666.885
    13·1 answer
  • Find the gcf of 12,30,72
    5·1 answer
  • A sign in a bakery gives these options:
    5·1 answer
  • I need help with this fast
    14·1 answer
  • find the equation of a line that passes through the points (3,7) and (5,3). Leave your answer in the form y=mx+c​
    14·1 answer
  • Solve the equation 2
    12·1 answer
  • Can someone help me answer 4-13<br><br> Need done tonight!!
    14·1 answer
  • What is the distance between (22,-3) and (1, -3)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!