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
AleksandrR [38]
3 years ago
13

Find the area of the triangle

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

The answer is 54 units squared

Step-by-step explanation:

This is because this triangle is made up of two triangles. The smaller one is an isosceles triangle, meaning all sides are the same length. Sense all sides are the same length each side = 6 units squared. You subtract 6 from 18 to get the length of the other triangles side.

From there you multiply each side as if it were a square, then divide both answers by two (because two triangles make up a square). Add them up and then Ta-daa! 54!

Helga [31]3 years ago
3 0

Answer:

The answer is

\huge \boxed{54 \:  \:  {units}^{2} }

Step-by-step explanation:

Area of a triangle is given by

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

From the question

base = 18

height = 6

So we have

A =  \frac{1}{2}  \times 18 \times 6 \\  = 9 \times 6 \\  = 54 \:  \:  \:  \:  \:

We have the final answer as

<h3>54 units²</h3>

Hope this helps you

You might be interested in
Find the slope of the line that passes through (3, 5) and (100, 98).
Otrada [13]
93/97

Decimal Answer : 0.958763
8 0
2 years ago
Read 2 more answers
20% of what equals 1581.01
Zepler [3.9K]
If you rewrite this phrase to be an equation, with N representing the missing number, it would be:

20% x N = 1581.01 or 0.2N = 1581.01

This equation basically says 20% of what number equals 1581.01.

To get to the answer, divide both sides by 0.2. -->

0.2N ÷ 0.2 = 1581.01 ÷ 0.2 -->
N = 1581.01/0.2
N = 7905.05


6 0
3 years ago
Equilateral triangle ABC has an area of \sqrt{3}√ ​3 ​ ​​ . If the shaded region has an area of \piπK − \sqrt{3}√ ​3 ​ ​​ , what
Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

  and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* <u><em>At first lets find the length of the side of the Δ ABC</em></u>

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

∴ 1/4 s² = 1

- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

∴ The length of the side of the equilateral triangle is 2

* <u><em>Now lets find the radius of the circle</em></u>

- In the triangle whose vertices are A , B and N the center of the circle

∵ AN and BN are radii

∴ AN = BN = r , where r is the radius of the circle

∵ The sides of the equilateral angles divides the circle into 3 equal

   arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

  of the its subtended arc arc

∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

∴ m∠ANB = 120°

- By using the cosine rule in Δ ANB

∵ AB = 2 , AN = BN = r , m∠ANB = 120°

∴ (2)^{2}=r^{2}+r^{2}-2(r)(r)cos(120)

∴ 4=r^{2}+r^{2}-2(r)(r)(-0.5)

∴ 4=r^{2}+r^{2}-(-r^{2})

∴ 4=r^{2}+r^{2}+r^{2}

∴ 4=3r^{2}

- Divide both sides by 3

∴ r^{2}=\frac{4}{3}

- Take square root for both sides

∴ r = 2/√3

* <u><em>Lets find the value of k</em></u>

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

∵ Area shaded = area circle - area triangle

∵ Area triangle = √3

∴ Area shaded = (4/3) π - √3

∵ Area of the shaded part is π k - √3

- Equate the two expressions

∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0
3 years ago
Which fraction is between -5/8 and -1/2​
Rzqust [24]

Answer:

The answer is −1.125...

Step-by-step explanation:

Hope this helps! :)

6 0
3 years ago
What is 29 2/19 plus 5 1/2?
boyakko [2]
29 2/19 + 5 1/2 = 29 4/38 + 5 14/38 = 34 18/38 = 34 9/19
7 0
3 years ago
Other questions:
  • What is repeating 8.333 in fration form as mixed and improper form?
    6·1 answer
  • Find the slope of the line using (4,-4) (8,-1) (0,-7) (-4,-10)
    11·2 answers
  • The car owned by a person is part of his or her
    7·1 answer
  • Kylie invested $7,800 in an account paying an interest rate of 2.6% compounded
    14·1 answer
  • State the horizontal asymptote of the rational function.
    6·1 answer
  • Luerityilly CIUSS SECUMS UN SUNIUS
    6·2 answers
  • What is 2 times 8976543210?
    10·2 answers
  • A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries wil
    10·1 answer
  • anyone wanna join my space on q-uora here is the link https://hangouts4fans.quora.com/?invite_code=izFxopQJyZNQfwSdLoIP
    6·1 answer
  • A graphing calculator costs $85. The sales tax on the calculator is 8%. What is the total cost of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!