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
yanalaym [24]
3 years ago
15

The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

You might be interested in
Suppose Johnny invests $2,745 into an account, which has been earning interest for many years and he now has a total of $39,974.
Ket [755]

Answer:

i don't understand your question

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4
inessss [21]

Answer:

-5v+4

Step-by-step explanation:

Remove the parentheses and combine the like terms:  

-2v + (-4) + 8 + (-3v)

-2v -4 + 8 -3v    [Remove parentheses]

-5v +4                [Combine like terms]

<u>-5v +4    </u>  

3 0
2 years ago
Helppppppppppppppppppppppp
DiKsa [7]

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

7 0
3 years ago
Two blocks of ice are shaped as right rectangular prisms. The smaller block of ice has a length of 6 in., a width of 4 in., and
ElenaW [278]
The answer is 6480.
Length: 6x3=18
Width: 4x3=12
Height:10x3=30
LengthxWidthxHeight=18x12x30=6480
5 0
3 years ago
How would you find the volume of the solid in the figure ?
djverab [1.8K]
Finding Volume is dependent upon which object you are seeking.

Rectangle, Volume=length*width*height

Cube, Volume=S^3

Cylinder, Volume= \pi*r³*h

Sphere, Volume=4/3*\pi*r^3
6 0
3 years ago
Other questions:
  • 4,000,000 lbs is how many tons
    12·2 answers
  • PLATO USERS NEEDED - 50 POINTS
    12·2 answers
  • 5/81 square root <br><br> Test corrections!!!
    10·2 answers
  • How do you add and subtract decimals as easily as you do whole numbers?
    5·2 answers
  • The percent of working students increased 12.2% to 32.9%, what was the percent prior to the increase?
    5·1 answer
  • Line A is represented by the equation given below.
    14·1 answer
  • Please help me asap thank you!
    14·1 answer
  • Help guys I would appreciate ​
    13·1 answer
  • Solve for x <br> A) 8 <br> B) 10 <br> C) -11 <br> D) 5
    8·2 answers
  • PLEASE HELP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!