In the figure, if AC = 13 cm, then the length of the median BD =
1 answer:
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Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
1. Find the Least Common Denominator (LCD) of 
Method 1: By Listing Multiples<span>List out all multiples of each denominator, and find the first common one.
5: 5,10
2: 2, 4, 6, 8,10</span>
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
5 : 5
2 : 2
Therefore, the LCD is 2 x 5 = 10
2. Make the denominators the same as the LCD
3. Simplify. Denominators are now the same
4. Join the denominators
5. <span>Simplify
</span>
<span>Done (Fact: Decimal Form 0.9)</span>
Method 1: By Listing Multiples<span>List out all multiples of each denominator, and find the first common one.
5: 5,10
2: 2, 4, 6, 8,10</span>
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
5 : 5
2 : 2
Therefore, the LCD is 2 x 5 = 10
2. Make the denominators the same as the LCD
3. Simplify. Denominators are now the same
4. Join the denominators
5. <span>Simplify
</span>
<span>Done (Fact: Decimal Form 0.9)</span>