PTG has side lengths of 12 cm, 25 cm, and 19 cm. Which type of triangle is PTG?

1 answer:

3 0

No two sides are equal, so the triangle is not an isosceles triangle.

We could calculate at least two angles of the triangle to determine whether it is a right, acute, or obtuse. We need to use the cosine law:

a^2 + b^2 - 2ab * cos C = c^2
cos C = (a^2 + b^2 - c^2) / 2ab
C = arccos((a^2 + b^2 - c^2) / 2ab)

Solving for two angles P and T,

P = arccos((12^2 + 19^2 - 25^2)/(2*12*19))
P = 105.3 degrees.

Since one angle is an obtuse angle, we dont need to compute for the other angle. We can conclude then that the triangle is an obtuse angle.

You might be interested in

What is the mean and mad of this data set?

larisa86 [58]

Answer:

The mean number of gerbils seen per day is 6.

The mean absolute deviation of the data is 2.29.

Step-by-step explanation:

The mean of a data set is the value that represents the entire data set. It is the average value.

The formula to compute the mean of a data set is:

$\bar x=\frac{1}{n}\sum X$

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.

The formula to calculate the value of MAD is:

$MAD=\frac{1}{n}\sum |x-\bar x|$

The data set for the number of gerbils seen per day is:

S = {2, 3, 5, 7, 8, 8, 9}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum X$

$=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6$

The mean number of gerbils seen per day is 6.

Compute the mean absolute deviation of the data as follows:

$MAD=\frac{1}{n}\sum |x-\bar x|$

$=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29$

Thus, the mean absolute deviation of the data is 2.29.

5 0

4 years ago

A polygon will be dislates on a coordinate grid to creat a smaller polygon. The polygon is dilated using the organ as the center

Alexandra [31]

Answer:

The answer is "Choice D".

Step-by-step explanation:

Please find the complete question in the attached file.

It might indeed multiply that each coordinated throughout this question and construct a delay. In this question, The c instant of differentiation to go and get a smaller image is less than 1, and construct a smaller polygon, that polygon would be extended on even metering systems. Its polygon is distributed out by using the source as the dilation core.