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
Nastasia [14]
3 years ago
13

The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square​ centimeters, find

its base and height.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)
You might be interested in
Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D
N76 [4]

Answer:

First one is DC

Second one is AB.

Step-by-step explanation:

Just did them on edge.

3 0
3 years ago
Read 3 more answers
Select all irrational numbers.
const2013 [10]
The answers are A and D.
The numbers that you cannot simplify without having a radical in the answer are irrational numbers. 

√(4/16) = 1/4 or -1/4, rational number
√(9/16) = 3/4 or -3/4, rational number
√(9/4) = 3/2 or -3/2, rational number

√(3/16) = √(3)/4, NOT a rational number, cannot remove radical
√(3/4) = √(3)/2, NOT a rational number, cannot remove radical 
5 0
3 years ago
Read 2 more answers
What is the total change in the number of cups in oatmeal container? Explain.
yanalaym [24]

Answer:

There is not enough information to answer this question

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Also may i have help with this one
mote1985 [20]
The answer should be 11 since adding all the x’s up before 13 equals 11
4 0
2 years ago
HELP ME I DON'T GET IT!!!!!
frutty [35]

Answer:

  • Kamille is wrong

Step-by-step explanation:

<u>Kamille is wrong, because:</u>

  • √58 is between √49 and √64

or

  • 7 < √58 < 8

She needs about 8 inches ribbon not 60 inches

7 0
2 years ago
Other questions:
  • A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the d
    6·1 answer
  • A population grows from 11,000 to 16,000 in three years. round your answers to three decimal places. (a) assuming the growth is
    15·1 answer
  • How do you use an exponent to represent a number such as 16
    12·1 answer
  • How to find the angle of a right triangle given 1 side and no angles?
    8·1 answer
  • 6] reflect (7.-3) across the x = 6 line
    6·1 answer
  • What's bigger 6 2/3 or 6 12/15
    15·2 answers
  • 6x+a=5(x+t) make x the subject of the formula
    8·1 answer
  • 9 pencils cost $7.74<br> Which equation would help determine the cost of 6 pencils?
    15·2 answers
  • 6. Ria purchased a car for
    7·1 answer
  • WORTH 35 POINTS HELP MEEEEEEE PLEZ I NEED HELP
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!