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1 answer:

Alekssandra [29.7K]2 years ago

4 0

C because the base id the bottom which is 5 ( count the boxes at the bottom ) and the height is 9 is the side the long side

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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

$sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416$

Therefore, the length of BC rounded to nearest tenth, is:

$BC=2(7.416)=14.8$

6 0

2 years ago

Using the given points and line, determine the slope (0,32) and (100,212)

suter [353]

To solve for the slope given two lines, use the formula:

(y₂ - y₁)
----------
(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = (0,32)
(x₂, y₂) = (100,212)

plug into corresponding places:

(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)

180/100 is your slope

If you want simplified, it will be: 9/5

hope this helps

5 0

2 years ago

Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall an

love history [14]

He will need 12 sq. inches of Paper for each rhombus.

Given: 6 inches tall and 4 inches wide.

so, Length of the diagonals are 6 and 4 inches respectively.

Refer to figure.

The two diagonals cuts the rhombus into four equal parts, so

Area of one rhombus = 4 x (area of 1 part of the rhombus)

Now,

Area of 1 part of the rhombus = $\frac{1}{2}$ x 3 x 2