Create 2 new equivalent fractions by multiplying the numberator and denominator of the given fractions by a non-zero number.

In ABC, D∈AB so that AD;DB=1 : 3. If ACDB = 12ft2 Find AACD and AABC

Sergeeva-Olga [200]

Answer:

Area of $\triangle$ ACD = 4 $ft^2$

Area of $\triangle$ ABC = 16 $ft^2$

Step-by-step explanation:

Given that:

D is a point on AB.

and ABC is a triangle.

AD:DB = 1 : 3

Area of $\triangle$ CDB = 12 $ft^2$

Kindly refer to the attached image as per the given dimensions and values.

To find:

Area of $\triangle$ ACD and Area of $\triangle$ ABC = ?

Solution:

Formula for area of a triangle = $\frac{1}{2}\times Base \times Height$

The altitudes of triangles $\triangle$ CDB and $\triangle$ ACD are equal in dimensions.

Therefore the area of triangles $\triangle$ CDB and $\triangle$ ACD will be equal to the ratio of their bases.

Area of $\triangle$ ACD : Area of $\triangle$ CDB = AD: DB = 1 : 3

$\Rightarrow$ Area of $\triangle$ ACD = $\frac{12}{3} = \bold{4 ft^2}$

Area of $\triangle$ ABC = Area of $\triangle$ ACD + Area of $\triangle$ CDB = 12 + 4 = <em>16</em> $ft^2$

Therefore, the answer is:

Area of $\triangle$ ACD = 4 $ft^2$

Area of $\triangle$ ABC = 16 $ft^2$

3 0

3 years ago

Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches o

rusak2 [61]

Answer:

Step-by-step explanation:

5 0

3 years ago

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Select the correct answer from each drop-down menu.

Volgvan

Answer:

Step-by-step explanation:

20

4 0

3 years ago

The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of

Vlad1618 [11]

If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!

5 0

3 years ago

A certain food has a gluten ratio of 13mg per L of the food.what is the gluten ratio in micrograms per milliliter? PLEASE HELP M

AlekseyPX

Given:
The gluten ratio is 13 mg per L of food.

Note that
1 L = 1000 mL (milliliter)
1 mg = 10⁻³ g
1 μg = 10⁻⁶ g
Therefore
1 mg = 1000 μg

The gluten ratio is
$(13 \frac{mg}{L} )*( 1000 \frac{\mu g}{mg} )*( \frac{1}{1000} \frac{L}{mL} )=13 \frac{\mu g}{mL}$

Answer: The gluten ratio is 13 μg/mL

4 0

4 years ago

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Create 2 new equivalent fractions by multiplying the numberator and denominator of the given fractions by a non-zero number.​

Create 2 new equivalent fractions by multiplying the numberator and denominator of the given fractions by a non-zero number.