in ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC
Answers
Answer:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
Step-by-step explanation:
Given that:
D is a point on AB.
and ABC is a triangle.
AD:DB = 1 : 3
Area of [tex]\triangle[/tex]CDB = 12 [tex]ft^2[/tex]
Kindly refer to the attached image as per the given dimensions and values.
To find:
Area of [tex]\triangle[/tex]ACD and Area of [tex]\triangle[/tex]ABC = ?
Solution:
Formula for area of a triangle = [tex]\frac{1}{2}\times Base \times Height[/tex]
The altitudes of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD are equal in dimensions.
Therefore the area of triangles [tex]\triangle[/tex]CDB and [tex]\triangle[/tex]ACD will be equal to the ratio of their bases.
Area of [tex]\triangle[/tex]ACD : Area of [tex]\triangle[/tex]CDB = AD: DB = 1 : 3
[tex]\Rightarrow[/tex] Area of [tex]\triangle[/tex]ACD = [tex]\frac{12}{3} = \bold{4 ft^2}[/tex]
Area of [tex]\triangle[/tex]ABC = Area of [tex]\triangle[/tex]ACD + Area of [tex]\triangle[/tex]CDB = 12 + 4 = 16 [tex]ft^2[/tex]
Therefore, the answer is:
Area of [tex]\triangle[/tex]ACD = 4 [tex]ft^2[/tex]
Area of [tex]\triangle[/tex]ABC = 16 [tex]ft^2[/tex]
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What is the area of the unshaded portion of this figure?
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Answer:
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Step-by-step explanation:
First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step Explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Itll all make sense
M e e e e e ??
Hope you have a great day!
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1.yes,she is correct
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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i hope thought this out right for you, and hope that helps. :)
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Answers
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Step-by-step explanation:
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÷
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Answers
Answer:
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Step-by-step explanation:
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Given that,
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Answers
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[tex] \frac{12}{80} \times 100 = \\ [/tex]
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Answers
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Step-by-step explanation:
Someone please help me with this (look at the image above)
Answers
9514 1404 393
Answer:
a) base: 29.4377 cm
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Step-by-step explanation:
a) The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(17°) = (9 cm)/base
base = (9 cm)/tan(17°) = 29.4377 cm
__
b) The sine relation could be used in the same way to find the hypotenuse:
hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm
However, we're instructed to use the Pythagorean theorem. So, we have ...
hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm
__
c) The area is half the product of the base and height:
A = 1/2bh
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__
d) The perimeter is the sum of side lengths:
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HURRY I GIVE Brainless please hurry you get 100 points!!!Explaining a Rule for Dividing Fractions
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Answers
Answer:
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Step-by-step explanation:
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1/4.
Hope this helps :D Please mark brainliest
Hello! c: if you need to write and explain your answer use this because its not a sample response i hope you get an A!
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Answers
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Answer:
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Answers
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Answers
Answer:
50 $20 bills equals $1,000
Step-by-step explanation:
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50 $20 bills equal $1000
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Hence, $1000 bill equivalent of $20 is 50
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Answers
Answer:
n + (3n)+7 =
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And that is the answer
Step-by-step explanation:
