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M13-12

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New post 10 Jul 2017, 13:27
Hello request you to please elborate more or if possible write step by step as i am highly confused with the below line .

So we have the right triangle with legs 4 and 3 and hypotenuse 5. What is the height of this triangle (perpendicular from right angle to the hypotenuse)? Since the perpendicular to the hypotenuse always divides the triangle into two triangles with the same properties as the original triangle: heightleg1=leg2hypotenuseheightleg1=leg2hypotenuse. Hence height3=45height3=45, which gives height=2.4height=2.4.

distance=height−radius=2.4−1=1.4
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New post 18 Feb 2018, 09:17
I understood the least possible distance between a point on the circle to mean any point on the circumference to the line. How do we know to deduce it means from the origin of the circle to the line?
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New post 18 Feb 2018, 09:22
mahrah wrote:
I understood the least possible distance between a point on the circle to mean any point on the circumference to the line. How do we know to deduce it means from the origin of the circle to the line?


Yes, it's the distance between the point on the circumference to the line. We just find the distance from the centre and then subtract the length of the radius:

Now, the minimum distance from the circle to the line would be: length of perpendicular from the origin to the line (as the circle is centered at the origin) minus the radius of a circle (which is 1).
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New post 03 Jun 2018, 14:06
Hi Bunuel, please how was leg1 and leg 2 obtained
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New post 04 Jun 2018, 23:30
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New post 07 Jun 2018, 00:37
Mrtinhnv wrote:
Other solution:
Area of right triangle (3-4-5): 1/2*3*4 = 6
Since (r+x is height of triangle) => Area = 1/2*(1+x) = 6
=> 5x = 7 => x=1.4
Is it right>



much easier to solve this way!! thanks ..:)
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New post 11 Jul 2018, 21:06
I think this is a high-quality question and I agree with explanation.
Re M13-12 &nbs [#permalink] 11 Jul 2018, 21:06

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