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
neonofarm [45]
2 years ago
14

1. The diagonal of a quadrilateral

Mathematics
1 answer:
zalisa [80]2 years ago
6 0

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are heights of those triangles.

According to the question,

Triangle 1 :  Base = 8.5 cm and Height = 3.5 cm

Triangle 2 :  Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

Using this formula, we get

Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5

Area(\Delta 1)=14.875

and

Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5

Area(\Delta 2)=19.125

Now, area of the quadrilateral is

Area=Area(\Delta 1)+Area(\Delta 2)

Area=14.875+19.125

Area=34

Therefore, the area of the quadrilateral is 34 cm².

You might be interested in
What is the vertex form for y=-3x^2+30x+7
Ad libitum [116K]
X=-1/29 it’s divided the 1 /29
8 0
3 years ago
Can I get help with this?
Masteriza [31]

Answer:

AC = 120

Step-by-step explanation:

<D = 360 - 95 - 145

D =120

Central Angle = Intercepted Arc

AC = <D = 120

6 0
3 years ago
Please answer all four geometry questions and show work... I will mark you brainliest and give you five stars
fomenos

Answer: for the first one it is the ll because on the first one it measures 80 degrees for both angles and so for the the second just that it's 90 degrees

For the second 2 questions the are parallel because they don't join together but go straight until infinite.

Step-by-step explanation:

7 0
3 years ago
What are the actual dimensions of the Check-out Area?
Lera25 [3.4K]
The answer is letter b 15mx20m

5 0
3 years ago
Read 2 more answers
Miguel decided to buy a cell phone for $150. It is currently on sale for 10% off. When he got to the counter, he got an addition
aleksandrvk [35]

Answer:

The final cost price of the cellphone is  $121.5

Step-by-step explanation:

The marked price of the cell phone = $150

Now, sale percentage on the marked price = 10%

Now, 10 % of 150 = \frac{10}{100}  \times 150 = 15

⇒The sale discount on the marked price = $15

So, the  selling price of cellphone = Marked Price - Sale discount

                                                        = $150  - $15  = $135

Now, the second discount offered on $135 is 10%

10 % of 130 = \frac{10}{100}  \times 130 = 13.5

⇒The additional sale discount on the selling price = $13.5

So, the final cost of cellphone = Selling Price - Additional Sale discount

                                                        = $135  - $13.5  = $121.5

Hence, the final cost price of the cellphone is  $121.5

5 0
3 years ago
Other questions:
  • At a sandwich shop, Diana can select from 2 types of bread and 5 types of meat. if she randomly selects 1 type of bread and 1 ty
    5·2 answers
  • HELP ME WITH THESE TWO PLEASE PLEASE ILL GIVE BRAINLIEST
    10·2 answers
  • Order from greatest to least:show your work❗️<br><br> 12,-4,8,-3,0
    11·1 answer
  • Please answerrree my quess​
    9·1 answer
  • the table shows the number of vehicles wash at a carwash fundraiser over the weekend so there was a total of 94 Vehicles how man
    12·1 answer
  • Is 7 1/5 a whole number a integer or a rational number
    12·1 answer
  • Jacob has taken three math test
    12·1 answer
  • What is 4x-5x= x- 20
    10·2 answers
  • An NBA corner 3-pointer is 264 inches away from the hoop. One day, you measure it to be 270.6 inches. What is the measurement er
    8·1 answer
  • Write an equation, in point-slope form, for the line that passes through (1, -5) and has a slope of -3.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!