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
Tanya [424]
3 years ago
15

In the given figure, the area of △ADE is 16 units. What is the area of △ABC?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.

Ratio of DE to BC is 4:6 => 2:3

To find area, we need to raise the ratio of length to power 2

(2/3)² = 16/x

4/9 = 16/x

x = (16*9)/4

x = 36cm²

Therefore, area of triangle ABC is 36cm²

(ii) Ratio of DE to BC is 4:8 => 1:2

(1/2)² = 25/x

1/4 = 25/x

x = 25*4

x = 100cm²

Therefore, area of triangle ABC is 100cm²

I'm not sure about the third question, sorry

Step-by-step explanation:

You might be interested in
Find the circumference of a circle with an area of 615.75 square inches.
Fittoniya [83]
A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.
3 0
3 years ago
Are the graphs of 2x-4y=-12 and y=2x+1 parallel, perpendicular, or neither?
Sauron [17]

Answer:

I believe the answer is neither

Step-by-step explanation:

4 0
2 years ago
Can someone help me please!??
EleoNora [17]
Is D (0,2) ...........
4 0
3 years ago
Read 2 more answers
Solve for the formula C=2pir solve for r
Ulleksa [173]
C = 2pi r
C/2 Pi = r.

I believe this would be the solution.
7 0
3 years ago
Read 2 more answers
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area​
kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area​ .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3

The curved surface area of the cylinder is given by :

A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0
3 years ago
Other questions:
  • The sum of a number b and 7.5 is 4.8
    10·1 answer
  • Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining decals on t
    12·1 answer
  • Students water a plant with the same amount of water for 28 days, if the students use a total of 23.8 L of water over the 28 day
    9·1 answer
  • (2a+b)^2 how do you do this
    14·1 answer
  • Graph the line with slope 1/3 with passing through the point (-5,3)
    5·1 answer
  • I got 7 to go :( help plz
    9·2 answers
  • Write a similarity statement for the following pairs of triangle. Please answer sensibly​
    12·1 answer
  • During a snowstorm, the temperature drops from 0°F to -10°F in 2 hours. On average,by how many degrees is the temperature changi
    11·1 answer
  • The causes of land pollutions are​
    15·1 answer
  • The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!