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
padilas [110]
3 years ago
14

In the ΔABC, the altitude AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0
AB = 30 in and BC = 50 in.

We use Pythagorean theorem to solve this.  Since AN is an altitude, this means that it is perpendicular to BC.  This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:

18²+24² = AB²
324 + 576 = AB²
900 = AB²

Take the square root of both sides:
√900 = √AB²
30 = AB

NC and AN form the legs of the other right triangle, with AC being the hypotenuse:

24²+NC² = 40²
576 + NC² = 1600

Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024

Take the square root of both sides:
√NC² = √1024
NC = 32

BC = BN + NC = 18 + 32 = 50
You might be interested in
Due today, Help fast, I will mark brainliest<br><br><br>I need help with everything!! :(<br><br>​
GuDViN [60]

Answer:

Anupama wants to purchase a curtain of window for her study room, she measures its length as 14 m, breadth as 3m, how much cloth will she purchase?Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Wikipedia

4 0
2 years ago
Find the number in which 4 has highest value.
Andru [333]

Step-by-step explanation:

the number in which 4 has the highest value is

6748.9251

7 0
2 years ago
Read 2 more answers
How do you solve this In this case 1422 = 5534/(1+r)^4
Sever21 [200]
It is okay to take the inverse of both side given that you remember to exclude the value that make the denominator  zero which is in this case r=-1

8 0
3 years ago
Please helpppppppppp
tekilochka [14]

y = sqrt(x) .... parent function

y = sqrt(x+2) .... replace x with x+2 to shift 2 units to the left

y = sqrt(x+2)+3 ... add on 3 to move 3 units up

y = sqrt(-x+2)+3 ... replace x with -x to reflect over y axis

<h3>Answer:   y = sqrt(-x+2)+3</h3>
5 0
3 years ago
What is 4/5 x 1 1/6=
andrew11 [14]
4/5 x 1 1/6 
<span>= 4/5 x (6 x 1 + 1)/6 </span>
<span>= 4/5 x 7/6 </span>
<span>= (4 x 7)/(5 x 6) </span>
<span>= 28/30 </span>
<span>= (28 ÷ 2)/(30 ÷ 2) </span>
<span>= 14/15</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is a common multiple of 3,4,5 and 6?
    7·2 answers
  • 3times the exponent -3
    6·1 answer
  • Which function is shown in the graph below?
    9·1 answer
  • You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic.
    5·1 answer
  • A spherical tank holds about 7,234.56 cubic meters of air.
    8·1 answer
  • 3.
    9·1 answer
  • Please help me...
    13·2 answers
  • Pls help me pls help me
    9·1 answer
  • <br><br> please help/ will give brainlist
    5·1 answer
  • Please help!!!!!!!!!!​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!