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3 years ago

State if the three sides lengths form an acute, obtuse, or right triangle: 7 in, 11 in, 13 in a acute b obtuse c right

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

The triangle with side lengths 7 in, 11 in, 13 in will be an acute angled triangle.

Step-by-step explanation:

If we assume that the triangle with height 7 inches and base 11 inches of a right triangle then its hypotenuse will have the length of

$\sqrt{7^{2} + 11^{2}} = \sqrt{170} = 13.04$ inches.

But the third side of the triangle is given to be 13 inches which is less than 13.04 inches i.e. 13 < 13.04.

Therefore, the triangle with side lengths 7 in, 11 in, 13 in will be an acute-angled triangle. (Answer)

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Step-by-step explanation:

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A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questio

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There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test = 5

The total number of multiple choice questions = 3

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3 years ago

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .

Readme [11.4K]

Answer:

(-21,-19)

$\sqrt{849}$

Standard form

Step-by-step explanation:

We are given the equation of circle

$x^2+y^2+42x+38y-47=0$

General equation of circle:

$x^2+y^2+2gx+2fy+c=0$

Centre: (-g,-f)

Radius: $\sqrt{g^2+f^2-c}$

Compare the equation to find f, g and c from the equation

$g\rightarrow 21$

$f\rightarrow 19$

$c\rightarrow -47$

Centre: (-21,-19)

Radius (r) $=\sqrt{21^2+19^2+47}=\sqrt{849}$

Standard form of circle:

$(x+21)^2+(y+19)^2=849$

The centre of circle at the point (-21,-19) and its radius is $\sqrt{849}$ .

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Answer:

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Step-by-step explanation:

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