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Ipatiy [6.2K]
3 years ago
11

Given vertices A(0,0), B(5,0),C(0,5), determine whether triangle ABC is a right triangle. a. yes c. insufficient information b.

no
Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

Yes, this triangle is a right triangle.


Step-by-step explanation:

Side AB lies on the x-axis and is thus horizontal.  Side AC lies on the y-axis and is thus vertical.  Sides AB and AC are therefore perpendicular to each other.  This alone is enough info for us to conclude that this is a right triangle.

Side BC could be thought of as the hypotenuse.

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A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.
levacccp [35]

Answer:  The required width of the park is 3 miles.

Step-by-step explanation:  Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.

We are to find the width of the park.

As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,

where length DA = 5 miles, BD = 4 miles and AB = width = ?

Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.

Using Pythagoras theorem in triangle ABD, we have

BD^2=AB^2+DA^2\\\\\Rightarrow AB=\sqrt{BD^2-DA^2}\\\\\Rightarrow AB=\sqrt{5^2-4^2}\\\\\Rightarrow AB=\sqrt{25-16}\\\\\Rightarrow AB=\sqrt{9}\\\\\Rightarrow AB=3.

Thus, the required width of the park is 3 miles.

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The A/= it means the answer is okay.

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Genrish500 [490]

Answer:

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2 years ago
Use the x-intercept method to find all real solutions of the equation -9^3-72^2-96x+36=3x^3+x^2-3x+8
Vadim26 [7]

Answer:

 x ≈ 0.290640965127

Step-by-step explanation:

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Answer:

d-2 < -1

Step-by-step explanation:

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