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weqwewe [10]
3 years ago
14

What is the value of b in the triangle shown below?

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0

Answer:

b= 4 in.

Step-by-step explanation:

Ok. So the area of a triangle is base * height divided by 2.

So, the base is b and the height is 3b.

b*3b= 3b^2.

Now, divide that by 2.

(3b^2)/2.

Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.

(3b^2)/2 = 24

3b^2 = 48

b^2 = 16

Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.

12345 [234]3 years ago
4 0

Answer:

+4 in

Step-by-step explanation:

A= 1/2 x b x h

24=1/2 x b x 3b

b2=16

b=+4 or -4(N/A)

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Step-by-step explanation:

You have done a pretty good job of writing the problem, negative 300 divided by negative thirteen. It can be translated directly to your favorite calculator (see attachment) for a solution.

If you want to perform the division by hand, the particular method of writing the problem depends on the method of division you want to use. (Several styles are taught these days). Numerous web sites and videos explain <em>long division</em> in all its detail. The second attachment shows an example where a decimal fraction result is obtained. The decimal fraction is an infinite repeating decimal with a 6-digit repeat.

For starters, you would generally convert both numbers to positive numbers, since the result of 300/13 is the same as the result of -300/-13 and positive numbers are easier to deal with.

___

<em>Comment on symbols</em>

(The symbol ÷ generally means the same thing as the symbol /. Both mean "divided by". In some cases, the symbol ÷ is given the meaning "everything to the left of it divided by everything to the right of it." This is often the case when it is used as part of a compound fraction: 3/5÷4/3, for example. The preferred representation of such a division is (3/5)/(4/3), with parentheses clearly identifying numerators and denominators.)

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