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NikAS [45]
3 years ago
15

Find the surface area

Mathematics
2 answers:
Levart [38]3 years ago
7 0
57.4 m

explanation

for the triangles you do
1/2(bh)(2)

for the other sides which are the 3 rectangles you do
3(bh)
____ [38]3 years ago
3 0
57. 4 meters hope I helped
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Find a. Write your answer in simplest radical form.
yan [13]

Answer:

a=6mm

<u>Skills needed: Special Right Triangles </u>

Step-by-step explanation:

1) We are given what is known as a right triangle. More specifically, this is a special right triangle. It is a:

30-60-90 triangle, which means it has a:

---> 30-degree angle

---> 60-degree angle

---> 90-degree (right) angle

There is an important property with the side lengths of this special right triangle.

2) The property is the following:

- Let's say the side opposite of the 30-degree angle is b.

- The side opposite the 90-degree angle would be 2b.

- The side opposite the 60-degree angle would be b * \sqrt3

This property is useful for finding side lengths of the triangle.  

3) In this problem, we are given the side opposite the 90-degree angle, which means we can divide by 2 to solve for b (side opposite 30° angle).

4\sqrt{3} = 2b ---> This is the equation

4\sqrt3 \div 2 = b<em> --> </em>We divide by 2 on both sides to isolate the variable.

b = 2\sqrt3 --> We evaluate it out, and get this to be our answer for a

Then, we can solve for the side opposite the 60-degree angle by multiplying b by \sqrt3

---> b*\sqrt3=2\sqrt3*\sqrt3 = 2*\sqrt3*\sqrt3=2*3=6

\sqrt3 times itself would be 3, as multiplying by itself is squaring the square root, and removing it.

---> a=6mm in the diagram.

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2 years ago
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