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2 years ago

The perimeter of the triangle is 42. Find the length of all the sides.

Mathematics

1 answer:

iragen [17]2 years ago

3 0

<h3>Given :-</h3>

Perimeter of triangle = 42

Side 1 of triangle = (x + 4)

Side 2 of triangle = (3x + 8)

Side 3 of triangle = (5x + 6)

Length of sides

<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

$\\ \\$

$\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}$

$\\ \\$

So:-

$\\$

$\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\$

$\\ \\$

$\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 18\\$

$\\ \\$

$\dashrightarrow \tt 42 - 18 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 24 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 9x = 24 \\$

$\\ \\$

$\dashrightarrow \tt x = \dfrac{24}{9} \\$

$\\ \\$

$\dashrightarrow \bf x =2.67 \{approx \}\\$

$\\ \\$

Side 1 of triangle = (x + 4)
Side 1 of triangle =2.67 + 4
Side 1 of triangle = 6.67

Side 2 of triangle = 3x + 8
Side 2 of triangle = 3 × 6.67 + 8
Side 2 of triangle = 20.01 + 8
Side 2 of triangle = 28.01

Side 3 of triangle = 5x + 6
Side 3 of triangle = 5 × 2.67 + 6
Side 3 of triangle = 13.35 + 6
Side 3 of triangle = 19.35

━━━━━━━━━━━━━━━━

~WindyMint

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