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
Schach [20]
2 years ago
8

An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

above?

Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

You might be interested in
Instructions: Type the correct answer in each box. If necessary, use / for the fraction bar.
Alinara [238K]
The slope of diagonal <em>AB</em> is 0 and its equation is y=2.
7 0
3 years ago
Ms.Liang is building a deck that is 2 2/9 yards long and 3 2/5 yards wide what is the area of her deck.
choli [55]

Answer:

length = 20/9 yards

breadth = 17/5 yards

area = length x breadth

= 20/9 x 17/5 = 7 5/9 sq. yards

6 0
2 years ago
*Awarding Brainliest to first responder with the correct answer!*<br><br> What is m∠CDJ ?
Bogdan [553]

Answer:

Step-by-step explanation:

Angle ADC and angle CDJ are complementary.  That means that they add up to equal 90 degrees.  Therefore,

4x + 3x - 8 = 90 and

7x = 98 so

x = 14

Sub in a 14 for x in 3x - 8:

3(14) - 8 = 34

Angle CDJ = 34 degrees

5 0
3 years ago
Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
Hunter-Best [27]
There isn't any choices given in this problem but I can give you a tip to answer these kinds of problem. When you say independent, it means that the equation cannot be algebraically altered to result to 3x + 4y = 8. So the equation 6x + 8y = 16 is not an independent equation since when you divide each side by 2 it will result to 3x + 4y =8. You get the idea. <span />
6 0
3 years ago
Chelsea wants to rearrange her room. She makes a scale drawing of the room and cuts out
oee [108]

Answer:I think it is the First one

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Last year, a large trucking company delivered  tons of goods with an average value of $23,000 per ton. What was the total value
    5·1 answer
  • An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for th
    10·2 answers
  • The solution to 2x -5=27 is also a solution of which of the following equations
    9·1 answer
  • HELP ASAP WILL GIVE 20 POINTSSSSS
    8·1 answer
  • This week in school, there is a 75 percent probability of having a fire drill, a 50 percent probability of a tornado drill,
    12·1 answer
  • Find the missing factor 4b^2+17b+15+(b+3)()
    9·1 answer
  • Help fast !!!!!!!!!!!
    11·2 answers
  • Of the 50 students in Mr. Mitchell’s classes, 60% are girls. On Friday,20 %
    11·1 answer
  • Determine if the two triangles are similar. If they are similar, then which Triangle Similarity Theorem proves they are similar?
    6·1 answer
  • What is the area, in square inches, of the isosceles trapezoid below?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!