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
vodomira [7]
3 years ago
15

The height of a triangle is 6 centimeters less than the base. The area of the triangle is 123.5 square centimeters. Find the len

gth of the base and the height of the triangle.
Mathematics
1 answer:
algol133 years ago
7 0

Answer:  

The length of base=19cm

The length of height=13cm

Given:

Area of the triangle A=123.5\mathrm{cm}^{2}

Height of the triangle h=b-6

To find:

Length of the base

Length of the height

<u>Step by Step Explanation: </u>

Solution:

According to the formula, Area of the triangle

\mathrm{A}=\frac{1}{2} b \times h

Where b=Base of the triangle

h=Height of the triangle

We know the value of A=123.5\mathrm{cm}^{2} and also we know

h=b-6

Substitute these values in the above equation we get

123.5=\frac{1}{2} b \times(b-6)

247=b^{2}-6 b

b^{2}-6 b-247=0

The above equation is of the form

A x^{2}+B x+C=0

Compare the above two equations we get

A=1, B=-6, C=-247

\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

\frac{-(-6) \pm \sqrt{(-6)^{2}-4(1)(-247)}}{2(1)}

\frac{6 \pm \sqrt{36+4(247)}}{2}

\frac{6 \pm \sqrt{36+988}}{2}

\frac{6 \pm \sqrt{1024}}{2}

\frac{6 \pm 32}{2 a}

\frac{6+32}{2}OR\frac{6-32}{2}

38/2 OR -26/2

The value of b can't be negative so we take

b=38/2=19cm

Though we know that

h=b-6=19-6=13cm

Result:

Thus the length values of b and h are 19 and 13 cm respectively

You might be interested in
Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
alina1380 [7]

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

4 0
3 years ago
Work out the perimeter of a quarter-circle with radius 7cm.
Flura [38]

Answer:

25

Step-by-step explanation:

p=1÷4pir+2r

1÷4×22÷7×7+2(7)

=11cm+14cm

=25

7 0
3 years ago
Read 2 more answers
Plz help ZOOM IN TO SEE IT CLEAR
MaRussiya [10]
The answer to the question is 1/5^3

5^5/5^8= 1/5^(8-5)= 1/5^3
8 0
3 years ago
Dan buys candy that costs$5 per pound. He will spend at least $35 on candy. What are the possible numbers of pounds he will buy?
valina [46]

Answer:

7 and up

Step-by-step explanation:

35 / 5 = 7

Dan buys at least 7 bags

8 0
3 years ago
Find the volume of the prism below. Don't forget your units. ​
Dima020 [189]
3.7 x 4.1 x 10 = 151.7 cm2
8 0
3 years ago
Other questions:
  • Change the fraction 3/4 into a fraction
    13·1 answer
  • If a stadium seats 1,600 people and sells 2/4 of its seats, how many tickets does it sell
    11·2 answers
  • You have $4.10 in nickels, dimes, and quarters. If you have twice as many dimes as quarters, and five more nickels than dimes, h
    6·1 answer
  • ASAPPPP<br> - 1/2 + (3/4 x 4/9) =
    7·1 answer
  • Jennie is training for a race. On Tuesday She finished her sprint 0.305 second faster than on Monday. be How can you explain the
    12·2 answers
  • Question 5<br> 10<br> Simplify the following expression<br> 9 + 5m - 4
    7·1 answer
  • Please help me 30 points please help me
    8·1 answer
  • Which of the following graphs is the inverse of f(x) = x2 + 4?
    10·1 answer
  • HELP PLEASEEEEEEE<br> 15 - 4x = 2(3x + 1)
    14·2 answers
  • Please help ASAP!! 31 points and brainliest!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!