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
arsen [322]
2 years ago
14

In △ABC, point D∈AC

Mathematics
1 answer:
Maslowich2 years ago
6 0
<h3>Answer:</h3>
  • ABDC = 6 in²
  • AABD = 8 in²
  • AABC = 14 in²
<h3>Explanation:</h3>

A diagram can be helpful.

When triangles have the same altitude, their areas are proportional to their base lengths.

The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...

... BC : EC = (1+5) : 5 = 6 : 5

so ABDC will be 6/5 times AEDC.

... ABDC = (6/5)×(5 in²)

... ABDC = 6 in²

_____

The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...

... AABD : ABDC = AD : DC = 4 : 3

so AABD will be 4/3 times ABDC.

... AABD = (4/3)×(6 in²)

... AABD = 8 in²

_____

Of course, AABC is the sum of the areas of the triangles that make it up:

... AABC = AABD + ABDC = 8 in² + 6 in²

... AABC = 14 in²

You might be interested in
Help plz?????????????????
SCORPION-xisa [38]

Answer:

$11.40

Step-by-step explanation:

40%=.40

11.00+0.40

=$11.40

6 0
2 years ago
Read 2 more answers
Help will mark brainliest.......................................
tekilochka [14]
I'm not gonna give the answer because you have to solve it. Sorry. But I'll help you get it.

Step 1: solve the equation for each angle
Step 2: Add the totals from each angle
Step 3: Divide the total by 360
Step 4: You got your answer

I hope this helped! I'm sorry I answered really late.
3 0
3 years ago
Read 2 more answers
if the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the hight (h) of t
juin [17]
First since the perimeter of this problem is P=2b x 2h I first multiplied 26 by 2 and got 52 inches. then I subtracted 52 from 180 and got 128. From there I divide 128 by 2 and I got 64 for the length
6 0
3 years ago
PLZ HELP ME ASAP PLZZZ
soldi70 [24.7K]

Answer:

choice 1) 37.68 inches

Step-by-step explanation:

3.14 x 12 = 37.68

8 0
3 years ago
Read 2 more answers
To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
Bond [772]

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

7 0
3 years ago
Other questions:
  • The area of juans garden
    10·1 answer
  • What is the recursive formula for this geometric sequence<br><br> 6, -24, 96, -384,...
    10·2 answers
  • Show that between any two terminating decimals ,there is another terminating decimal
    5·1 answer
  • Use the Remainder Theorem to evaluate f(x)=2x5−3x4−9x3+8x2+2 at x=−3
    15·1 answer
  • In math, how to find x?
    15·1 answer
  • Please answer this!!​
    6·1 answer
  • (add. write your answer as a fraction, as a whole or as a mixed number)
    6·1 answer
  • Find the value of x.​
    13·2 answers
  • What is the independent variable of<br><br> y=12x−2
    14·1 answer
  • PLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZ!!!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!