Mathematics, 13.01.2020 05:31 ammullims822

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 + 102 < 122 acute, because 6 + 10 > 12 obtuse, because 62 + 102 < 122 obtuse, because 6 + 10 > 12

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The given triangle whoe sides are 6cm, 10cm, and 12cm is an obtuse triangle and it can be determine by using pythagorian theorem.

Given :

The side lengths of a triangle are: 6cm, 10cm, and 12cm.

Pythagorian theorem can be used to find out that the triangles are acute or obtuse. According to pythagorian theorem, the sum of square of shorter side is equal to the square of the third side of the right angle triangle.

According to pythagorian theorem: $\rm (Hypotenuse)^2 = (Perpendicular)^2+(Base)^2$ . That is, $\rm H^2 = P^2+B^2$ .

There are some rules to find the triangle is obtuse or acute:

If $\rm P^2+B^2$ than the triangle is obtuse.If $\rm P^2+B^2H^2$ than the triangle is acute.

Now, applying pythagorian theorem:

6^2+10^2=12^2

36+100=144

136 = 144

Here, it is clearly observe that 136 < 144 therefore, the triangle is obtuse.

For more information, refer the link given below:

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Answer from: clarajeansonels9987

The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.

A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. (case 2)

Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.

Answer from: Quest

Hi i’m back at my moms now i’ll call her when she can get there i’m gonna go first

Answer from: Quest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

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Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, be...