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kramer
3 years ago
14

What is the easiest to understand formula for solving 45 45 90 special right triangles?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Step-by-step explanation:

45°, 45°, 90° triangle theorem states that:

Lengths of the sides opposite to the 45° angle are equal to one upon root two times of the length of hypotenuse.

Mathematically it can be expressed as:

length \: of \: sides \: opposite \: to \: 45 \degree \: \\  angle \\  =  \frac{1}{ \sqrt{2} }  \times length \: of \: hypotenuse.

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(Refer to the attached image)​
RSB [31]

Answer:

missing side: 133 cm

Explanation:

Provided <u>2 length sides</u> and <u>one angle</u> also need to find <u>one missing side</u>.

So, use cosine rule:

⇒ a² = b² + c² - 2bc cos(A)

<u>Insert values</u>

⇒ g² = 166² + 147² - 2(166)(147) cos(50)

⇒ g² = 17794.3935

⇒ g = √17794.3935

⇒ g = 133.3956

⇒ g = 133          (rounded to nearest whole number)

8 0
1 year ago
10. Amina is currently twice as old as her younger brother,
maks197457 [2]

Answer:

When Amina is 18. Saad would be;

k. 14

Step-by-step explanation:

Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;

Anita's age = 2 × Saad's age

Therefore;

x = 2 × y...(1)

In 4 years, we will get;

x + 4  = 1.5 × (y + 4)...(2)

Substituting the value of x in equation (1) into equation (2), we get;

2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6

2·y + 4 = 1.5·y + 6

2·y - 1.5·y   = 6 - 4 = 2

0.5·y = 2

y = 2/0.5 = 4

Saad's current age = y = 4 years

From equation (1), we have;

x = 2 × y = 2 × 4 = 8

Amina's current age = x = 8 years

When Amina is 18, we have;

18 = 10 + 8 = 10 + x

Therefore, Amina would be 18 in 10 years time from now, from which we have;

Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now

Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.

6 0
3 years ago
Replace ? with =, &gt;, or &lt; to make the statement true.
alekssr [168]
The answer is 12 ÷ 4 + 13 > 2 + 22 ÷ 2
8 0
3 years ago
What is 1/3 of 18? Plz help I don't know.
Aleksandr-060686 [28]
The answer to ur question is 6
4 0
3 years ago
Read 2 more answers
Given:
astraxan [27]

The answer is Vertical angles are equal.

5 0
3 years ago
Read 2 more answers
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