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
avanturin [10]
3 years ago
9

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Mathematics
2 answers:
Sever21 [200]3 years ago
6 0

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

BigorU [14]3 years ago
6 0

<u>Answer:</u>

A. 7.5

<u>Step-by-step explanation:</u>

In triangle ABC, BD is the altitude of the triangle which means BD is its height and AC is its base.

We know that B(-1,4) and D(2,4), therefore we can find height BD using the distance formula:

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

BD = \sqrt{(2+1)^2+(4-4)^2} = 3

Now, we will find the base AC:

AC = \sqrt{(6-1)^2+(2-2)^2} = 5

<em>Area of the triangle = 1/2 * base * height</em>

Area of ABC = 1/2 * AC * BD = 1/2 * 5 * 3 = 7.5

Therefore, the area of ABC is 7.5.

You might be interested in
The total sales at Office Products this year are $713,340, which is 35% more than last year’s sales. What is the amount of last
antoniya [11.8K]

The amount of last year sales is $ 528400

<em><u>Solution:</u></em>

Let "x" be the amount of last year sales

Given that,

The total sales at Office Products this year are $713,340, which is 35% more than last year’s sales

Therefore,

This year sales = 35 % more than last year sales

This year sales = 35 % of last year sales + last year sales

713340 = 35 % of x + x

713340 = 35 \% \times x + x\\\\713340 = \frac{35}{100} \times x + x\\\\713340 = 0.35x + x\\\\713340 = 1.35x\\\\\text{Divide both sides of equation by 1.35 }\\\\x = 528400

Thus amount of last year sales is $ 528400

8 0
3 years ago
X+8&gt;18<br><br>Solve the inequality
tigry1 [53]

Answer:

Alright well the Answer to your question is

x > 10 Hope this helps :)

Step-by-step explanation:


7 0
3 years ago
A local little league has a total of 80 ​players, of whom 80​% are right​-handed. How many
Mariulka [41]

Answer:

64

Step-by-step explanation:

80 percent *80 =

(80:100)*80 =

(80*80):100 =

6400:100 = 64

Now we have: 80 percent of 80 = 64

hope this helps :)

5 0
3 years ago
A. 0.126<br> b. 0.313<br> c. 0.220<br> d. 0.688
nordsb [41]
First we need the total of both children and adults that like all the flavors:

12 + 5 + 20 + 23 + 11 + 16 = 87 total people

then find the number of adults that like sweet mint: from the table 11 adults like sweet mint

to find the probability divide the number of adults who like sweet mint by the total number of people:

11 / 87 = 0.126
 the answer is A


4 0
3 years ago
Read 2 more answers
Hey can someone help:)?​
Zolol [24]
I think it’s the first one
7 0
3 years ago
Other questions:
  • answer for points and do it RIGHT with PROOF/WORK Plus you get points I wasted 80 points on a wrong answer before so please do i
    12·1 answer
  • How would solve <br>2y+6x=0
    10·1 answer
  • Which two numbers multiply to 60 and add to -2?
    10·1 answer
  • ECONOMICS 1.03<br> justify the choice you make based on a costs and benefits analysis
    9·1 answer
  • The deer population of a certain area is modeled by the formula: P=578e^0.045t where t is measured in years. In approximately ho
    8·1 answer
  • A teacher has 84 books in her classroom The ratio of fiction to nonfiction is 4:3 how many of each type of book does she have?
    10·2 answers
  • Reflections preserve length and size. Give a quality the a reflection does not preserve.
    5·2 answers
  • 8th grade Gifited math class 100 Points
    11·2 answers
  • Pleasei need a sulutoin​
    6·2 answers
  • WILL BE MARKED BRAINLIEST! What is the median for the following set of numbers? 11,12,11,13,13
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!