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3 years ago

5

The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side i

s 6 more than the shortest side. What are the lengths of the triangle?

2 answers:

jekas [21]3 years ago

6 0

ASSUMPTION:

Let the shortest length be x.

ANSWER:

Perimeter of Δ = Sum of all sides.

x + 2x - 5 + x + 6 = 29

4x + 1 = 29

4x = 29 - 1

4x = 28

x = 7.

Then, Other sides are

1st sides = 2 × 7 - 5 = 9
2nd sides = 7 + 6 = 13

Hence, The sides of triangle are 7, 9 & 13.

PolarNik [594]3 years ago

4 0

Answer:

7, 9, 13

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

<u>We have:</u>

P = a + b + c = 29
a = 2b - 5
c = b + 6

<u>Substitute values and solve for b:</u>

2b - 5 + b + b + 6 = 29
4b + 1 = 29
4b = 28
b = 7

<u>Find a and c:</u>

a = 2*7 - 5 = 14 - 5 = 9
c = 7 + 6 = 13

<u>The sides are:</u> 7, 9, 13

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