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Y_Kistochka [10]
2 years ago
14

In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o

f triangle ABC
Mathematics
1 answer:
Nikitich [7]2 years ago
8 0

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

\tan(B/2) = \frac 34

This gives

\tan(B/2) = 0.75

Take the arc tan of both sides

B/2 = 36.87

Multiply by 2

B = 73.74

Next, calculate the length of side AD using the following equation

AD = \tan(B) * BD

This gives

AD = \tan(73.74) * 4

AD =13.71

The area of the triangle is then calculated as:

Area = AD * BD

This gives

Area = 13.71 * 4

Area = 54.84

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

brainly.com/question/24487155

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Plot a point at "-9" and the other at "7". Both dots will be shaded in.
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An actor gained 20 pounds for a part and then loses 15 pounds during the filming of the movie to go along with the story describ
Tom [10]

We are given statement " gained 20 pounds and loses 15 pounds".

<em>Note: We take plus or positive sign for gain word and we take minus or negative sign for the loses word.</em>

Gained 20 means +20.

Loses 15 mean -15.

Therefore, we can setup an expression as:

<h3>+20 -15.</h3>

20 is a positive number and 15 is a negative number.

Because we have opposite signs of numbers, we would subtract them.

20-15 = 5 pounds.


6 0
3 years ago
Alice separated her pictures into 3 piles. Each pile contained 9 pictures. How many pictures did she have in all? Write and solv
GarryVolchara [31]
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4 0
3 years ago
Read 2 more answers
What is the value of this expression if h<br> = 8,j = -1, and k<br> =<br> -12
Rashid [163]

Answer:

12

Step-by-step explanation:

The given expression is :

\dfrac{j^3k}{h^0}

We need to find the value of this expression when h = 8, j = -1 and k = -12.

Put all the values in the given expression.

\dfrac{j^3k}{h^0}\\\\=\dfrac{(-1)^3\times (-12)}{(8)^0}\\\\=\dfrac{-1\times -12}{1}\\\\=12

So, the value of the given expression is 12.

7 0
2 years ago
Can anyone solve this for me?? I will give brainliest and 5 stars and thanks
Tcecarenko [31]

Answer:

3 cm

Step-by-step explanation:

When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.

A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:

\frac{2}{9} =\frac{h}{13.5}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

9h=2(23.5)\\19h=27

I now solve for h by dividing by 9.

\frac{9h}{9} =\frac{27}{9} \\h= 3

The new height is 3 cm.


5 0
3 years ago
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