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2 years ago

A triangle has side lengths of 24 32 and 40. Is the traingle acute obtuse or right ?

Mathematics

2 answers:

Zarrin [17]2 years ago

4 0

The triangle is acute

Marysya12 [62]2 years ago

3 0

24^2 + 32^2 = 40^2
576 + 1,024 = 1,600
1,,600 = 1,600

It seems it is neither acute or obtuse.
It is a right triangle.

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Option D:

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Solution:

<em>If the negative sign is in even number of times then the product is positive.</em>

<em>If the negative sign is in odd number of times then the product is negative.</em>

To find which product is positive:

Option A:

$$\left(\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

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So, the product is negative.

Option B:

$$\left(-\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

3 is an odd number.

So, the product is negative.

Option C:

$$\left(\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative sign = 1

1 is an odd number.

So, the product is negative.

Option D:

$$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$

Here, number of negative sign = 2

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So, the product is positive.

Hence option D is the correct answer.

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4/5 mile -------in 26,6 min.
1 mile -------- x min.
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