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dezoksy [38]
2 years ago
8

I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. T

he ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
Mathematics
1 answer:
irina [24]2 years ago
5 0

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

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1) big one: legs - a,b, and hypotenuse - c

2)small one: legs - h,s, and hypotenuse - b.


Corresponding sides:

hypotenuse - c and hypotenuse - b,

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small leg - a, and small leg h.


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? should be hypotenuse of the big triangle, c.


Answer is second one c.

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<h3>- - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - </h3>

➷ You need to know these rules to do this:

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