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
LekaFEV [45]
3 years ago
7

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim

eter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.
Mathematics
2 answers:
olga55 [171]3 years ago
8 0
*The side with the middle length is 12cm, therefore BC must be 12 cm

------------------------------------------------------------<span>
Ratio 
------------------------</span>---------------------------------<span>--
BC:AC:AB
  4 : 3 : 5

</span>-----------------------------------------------------------
<span>Find 1 share
</span>-----------------------------------------------------------<span>
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm

</span>-----------------------------------------------------------
Find AC (4 shares)
-----------------------------------------------------------<span>
3 shares = 3 x 3 = 9 cm
BC = 9cm

</span>-----------------------------------------------------------
<span>Find AB (5 shares)
</span>-----------------------------------------------------------<span>
5 shares = 5 x 3 = 15cm
AB = 15cm

</span>------------------------------------------------------------
Length
-----------------------------------------------------------
   BC   :  AC   :  AB
12cm  :  9cm : 15cm<span>

---------------------------------</span>---------------------------------<span>
Perimeter
</span>------------------------------------------------------------------
<span>12 + 9 + 15 = 36cm

</span>------------------------------------------------------------------
<span>Answer: The perimeter is 36cm
</span>------------------------------------------------------------------<span>

</span>------------------------------------------------------------------
<span>Area
</span>------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²<span>

</span>------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------<span>

Given that the biggest ratio is AB
</span>⇒AB is the hypotenuse
AB = 15 cm

------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
------------------------------------------------------------------
kow [346]3 years ago
7 0
The Hypotenuse AB = 20cm

Hope I helped!

Let me know if you need anything else!

~ Zoe
You might be interested in
1.<br> 3.<br> 2.<br> 4.<br> Which shapes will fold into a box with no lid?
vladimir2022 [97]

Answer: The answer is 1 and 3

:)

5 0
2 years ago
Read 2 more answers
A scale drawing of a building is one foot to 1/4 inch. What is the actual length of the building if the scale drawing shows that
Rom4ik [11]
1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\\ \\ 4\quad \cdot \quad 1\quad foot\quad :\quad \frac { 1 }{ 4 } \quad inch\quad \cdot \quad 4\\ \\ 4\quad feet\quad :\quad 1\quad inch

This means that:

4\quad feet\quad :\quad 1\quad inch\\ \\ \frac { 27 }{ 2 } \cdot \quad 4\quad feet\quad :\quad \frac { 27 }{ 2 } \cdot \quad 1\quad inch\\ \\ \frac { 108 }{ 2 } \quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches\\ \\ 54\quad feet\quad :\quad \frac { 27 }{ 2 } \quad inches\\ \\

13 + 1/2 inches is the same as 54 feet
4 0
2 years ago
Read 2 more answers
Simplify the expression: 14x-5(6x-7)+18​
USPshnik [31]

Answer:

−16x+53

Step-by-step explanation:

Distribute

14−5(6−7)+18  

↓

14−30+35+18

Add

14−30+35+18

↓

14−30+53

Combine like terms

14−30+53

↓

−16+53

8 0
2 years ago
Write an equation to represent the number puzzle. Use x as the
Art [367]

Answer:

It is A

Step-by-step explanation:

Equation: 5x+1=9+3x

5x+1=9+3x

     -1 -1

_________

5x=8+3x

-3x     -3x

________

2x=8

__ __

2     2

<h2><u><em>x=4</em></u></h2>
5 0
3 years ago
beena has a cumulative deposit account rs.400 per month at 10% per annum simple interest. if she gets rs.30100 at the time of ma
Dima020 [189]

Answer:T=1.54yr

Step-by-step explanation:

Formulate for simple interest

I=prt/100

T=100I/pr

T=100×400×12/30100×10

T=1.54yr

6 0
3 years ago
Other questions:
  • 5x +4y=8 how do you transform that equation into Y=mx+b​
    6·1 answer
  • PLEASE GUYS HELP QUICK. PLEASE DO EVERYTHING IT ASKS YOU TO DO show work and ect , I'M OFFERING 11PTS ( More than its worth) And
    11·1 answer
  • What is the square root of 55
    12·1 answer
  • In 3 billion repetitions of an experiment, a random event occurred in 500 million cases.
    5·2 answers
  • 5/12 +( 5/12 + 3/4 ) =​
    5·2 answers
  • The architect drew a design for the new kitchen. What is the area of the kitchen drawing?
    9·1 answer
  • A watch costs $30. The equation y=30x describes the cost y of x number of watches. Identify the graph of this
    9·1 answer
  • Raj bought 300 mangoes at 10 for Rs 100 and sold them at o profit of 25%. At what rate did he sell per 15 mangoes.
    8·1 answer
  • Help me match these??????? please and thank you!!!!​
    10·1 answer
  • Which of the following will form the composite function G(F(x)) shown
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!