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slava [35]
3 years ago
9

The ratio of the lengths of the sides of a triangle ABC is 3:4:6. M, N, and K are the midpoints of the sides. Perimeter of the △

MNK equals 5.2 in. Find the length of the sides of the △ABC. No picture.
Mathematics
1 answer:
juin [17]3 years ago
7 0

Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.

Let AB = 3k, BC = 4k and CA = 6k.

Then perimeter =3k+4k+6k = 13k

M, N, K are mid points of the sides.

By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2

Hence perimeter of MNK = 13k/2 =5.2 (given)

Solve for k

k=2(5.2)/13 = 0.8

Hence sides are

AB = 3k = 3(0.8) = 2.4 in

BC = 4k= 3.2 in

CA = 4.8 in

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7 0
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PLEASE Help Me MODERATORS or ANYONE ELSE!!! I DON'T KNOW WHAT TO DO!!! :)
alexgriva [62]
Ok, so the best way to start off solving this would be to find the y intercept.
The y intercept is the point that y is on when x is at 0

So when x (the horizontal axis, left to right) is at 0 the y axis (vertical axis, top to bottom) is at 3
That gives this equation a y intercept of 3, and because it is positive it will be plus 3

next we'll solve for the slope, the slope can be found using them formula (y2-y1)/(x2-x1)

We can use any two points on the line. So we'll use the points; (0,3) and (2,4)

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