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
-8(x + 1) + 3(x - 2) = -3x + 2?
alexira [117]
First you need to distribute the -8
So you would get -8x-8 now distribute the 3 so it would be 3x-6
-8x-8+3x-6=-3+2 is how it should look
Now combine the -8x and 3x cause their like terms and also -8 and -6
-5x-14=-3x+2 now add -3 to both sides
-2x-14=2 and add 14 to both sides
-2x=12 all left to do is divide both by -2
X=-6
8 0
3 years ago
What’s the correct answer for this question?
vladimir2022 [97]

Answer:

B.

Step-by-step explanation:

A cone with a radius of 1-unit will be obtained by rotating the 3-D figure.

8 0
3 years ago
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral
gavmur [86]

Answer:

?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the missing angle
GenaCL600 [577]

Step-by-step explanation:

119°+29°+n°=180°. (Sum of all the angles of triangle)

So,

158°+n= 180°

n= 180°-158°

n= 22°

6 0
3 years ago
CALCULATE
patriot [66]

Answer:

\frac{32}{40}  \times 100

\frac{32}{4}  \times 10

8 \times 10

80

80 is the answer

8 0
2 years ago
Read 2 more answers
Other questions:
  • Mr w is 5 times as old as his son Liam and Liam is two years older than his brother Jake, if the combined age of alk the Wiggins
    7·2 answers
  • Complete the pattern 444
    14·1 answer
  • 3b^2-4b+1=0 solve each equation with the quadratic formula
    10·1 answer
  • PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
    8·1 answer
  • If the ratio of boys to girls on the team is 2:3and there are 12 girls how many boys are there?
    10·1 answer
  • A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by
    9·1 answer
  • How many pints are needed for 2 3/4 pots of soup?
    5·1 answer
  • There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you sti
    6·2 answers
  • Marco surveyed the first 10 people
    7·1 answer
  • Pleaseee helppp with thissss asapppp
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!