The answer to this problem is 2
<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)
<h3>To find:-</h3>
<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:
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}](https://tex.z-dn.net/?f=%5Cbigstar%20%5Cboxed%7B%20%5Crm%20perimeter%20%5C%3A%20of%20%5Ctriangle%20%5C%3A%20%20%3D%20side_1%20%2B%20side_2%20%2B%20side_3%7D)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
So:-
![\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%20perimeter%20%5C%3A%20of%20%5Ctriangle%20%5C%3A%20%20%3D%20side_1%20%2B%20side_2%20%2B%20side_3%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20%3D%20%28x%20%2B%204%29%20%2B%20%283x%20%2B%208%29%2B%28%205x%20%2B%206%29%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20%3D%20x%20%2B%204%2B%203x%20%2B%208%2B5x%20%2B%206%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20%3D%20x%20%2B%203x%2B5x%2B%204%20%2B%208%20%2B%206%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20%3D%209x%2B%204%20%2B%208%20%2B%206%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 = 9x+ 18\\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20%3D%209x%2B%2018%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 42 - 18 = 9x \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2042%20%20-%2018%20%3D%209x%20%5C%5C)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 24 = 9x \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%2024%20%3D%209x%20%5C%5C)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt 9x = 24 \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%20%209x%20%3D%2024%20%5C%5C)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \tt x = \dfrac{24}{9} \\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Ctt%20%20x%20%3D%20%5Cdfrac%7B24%7D%7B9%7D%20%20%5C%5C)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \bf x =2.67 \{approx \}\\](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Cbf%20%20x%20%3D2.67%20%5C%7Bapprox%20%5C%7D%5C%5C)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
- 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
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~WindyMint
Answer:
x=15
Step-by-step explanation:
since 6 is 3/4 of 8 and the figures are similar x must be 3/4 of 20
3/4 of 20 is 15
good day to you
Answer:
55.5 u^2
Step-by-step explanation:
Split the quadrilateral into 2 triangles. There are two ways to do this, but I'm only doing one of them.
On the 5-11 triangle, use the two of the lengths and plug them into the triangle area formula. (L x W)/2 = A
5-11 triangle area: 27.5
Do the same for the 7-8 triangle. Plug it into the same formula.
7-8 triangle area: 28
Add the two areas. 27.5 + 28 = 55.5
If all 3 angles of a Triangle MUST equal 180°, then we know that we use the equation (for this triangle) to find the angle measurements as (180-90)/2 which means we are dividing 90/2 which is 45° for each angle. But these angles are different measures, so we have to guess upon this and say that YOUR ANSWER IS D