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]
4 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]4 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
The number that is 10 less than 6
almond37 [142]
The number (x) that is (=) 10 less than (-) 6

x = 6 - 10   Subtract
x = -4


6 0
3 years ago
Find the value of 5.8 divided by 1.2
Katena32 [7]
It is easier to do if we get rid of the decimals, so lets multiply both numbers by 10:
5.8/1.2 = 58/12
and reduce the fraction:
= 29/6
then operate:
= 4.83
7 0
3 years ago
What is the result of 2 divided by StartFraction 4 Over 10 EndFraction? A number line going from 0 to 2. One-fifth Four-fifths 5
mixer [17]

5

You just divide it normally

8 0
3 years ago
Read 2 more answers
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
ipn [44]

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

4 0
3 years ago
What is the radius of a sector of a circle with the central angle of measure 45 and whose area is 9/8 pi cm^2
larisa86 [58]

The radius of the sector of the circle with the given area is: B. 3.

<h3>What is the Area of a Sector?</h3>

Area of sector of a circle = ∅/360 × πr².

Given the following:

Area of sector = 9/8 π cm².

∅ = 45 degrees

Plug in the values into the formula

9/8π = 45/360 × πr²

1.125 = 0.125 × r²

1.125/0.125 = r²

9 =  r²

r = 3 cm

Learn more about the area of sector on:

brainly.com/question/22972014

#SPJ1

5 0
2 years ago
Other questions:
  • Brandon rode his bike 90% of the distance that Carlee rode her bike this week. Brandon rode 58.5 miles. How many miles did Carle
    5·1 answer
  • Find the unit price if 7 pounds of sugar sells for $2.50
    11·2 answers
  • Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
    12·1 answer
  • I’m confused on if I have to multiple decimals or not.
    15·1 answer
  • If x^2+y^2 =25 and dy/dt =6, find dx/dt when y=4
    14·1 answer
  • Help please I’m new to this not really sure how it works but I need help with math!
    7·1 answer
  • A composite figure is made up of a triangular prism on top of a rectangular prism. Which of the following surface area equations
    6·2 answers
  • Peter placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $147. The next order for 3 ap
    5·2 answers
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!