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4 years ago

What is the area of the triangle?

Mathematics

2 answers:

koban [17]4 years ago

7 0

Answer:

The area of the triangle is 16 cubic units

Step-by-step explanation:

The formula for the area of a triangle is like the same as a rectangle, just in half. So, by doing 8x4, you get 32. Divide 32 by 2 to get 16.

SVEN [57.7K]4 years ago

3 0

Answer:

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (4)*8

A = 16

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Write the equation of a line for the graph:

zzz [600]

Answer: y=1/3x-2

Step-by-step explanation:

To find the equation of the line, we need the slope and y-intercept. To find the slope, we can take any two points on the graph and use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ . To find the y-intercept, we find the point that crosses the y-axis. The two points on the graph are (0,-2) and (3,-1).

$m=\frac{-1-(-2)}{3-0} =\frac{1}{3}$

Now, we know the slope is 1/3.

The graph crosses the y-axis at (0,-2). Therefore the y-intercept is -2. This tells us that the equation is y=1/3x-2.

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3 years ago

What is the slope of the graph?

kumpel [21]

Th evalope kf the line is -3

8 0

4 years ago

Been trying to get help on this for a long time Any help ?

tiny-mole [99]

Answer:

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3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle ha

grandymaker [24]

<h2>Answers:</h2>

These problems can be solved by the Thales’s Theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

In addition, if two triangles are similar, their angles are similar as well. This means that the relation between two sides of the big triangle is equal to the relation between two sides of the small triangle, as follows:

$\frac{B}{A}=\frac{b}{a}$

Knowing this, lets’s begin with the answers:

1. For this first problem, see the first figure attached. There are shown the two triangles, and we are told both are similar, this means (according the prior explanation above) that we can use the Thale’s Theorem to find $x$ .

Therefore, we can establish a relation between two sides of the big triangle which is equal to the relation between two sides of the small triangle; in this case let’s use $B$ and $C$ for the first triangle and $b$ and $c$ for the second:

$\frac{C}{B}=\frac{c}{b}$

$\frac{6x+28}{96}=\frac{25}{24}$

Now we find $x$ :

$6x+28=\frac{(25)(96)}{24}$

$6x+28=100$

$6x=100-28$

$x=\frac{72}{6}$

$x=12$

Finally, the value of $x$ is 12 units.

2. For this problem, see the second figure attached. In order to find the values of the segments BE and EC, we will use two sides of each triangle (ABE and DCE) according to the Thale’s Theorem:

For the segment BE:

$\frac{BE}{10}=\frac{x+3}{4}$