Question

these triangles are similar what is the value of x help with number 2 and 3 PLEASE and THANK YOU

Answer 1

2. $x = 16$

$x= \sqrt{ {20}^{2} - {12}^{2} } \\ = \sqrt{400 - 144 } \\ = \sqrt{256} \\ = 16$

2. $x = 4$

$3x + 8 = \sqrt{ {25}^{2} - {15}^{2} } \\ 3x + 8 = \sqrt{625 - 225} \\ 3x + 8 = \sqrt{400} \\ 3x + 8 = 20 \\ 3x = 20 - 8 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4$

Answer 2

Answer:

#3: x = 4

#2: x = 16

Step-by-step explanation:

#3: If you do 25 divided by 5 for one side of the triangles, you'll get 5. If you do 15 divided by 3 for another side of the triangles, you'll get 5. So, you can conclude from this that the answer to 3x + 8  must be 20 because 4 times 5 equals 20 for the third side. Now you can solve for x: 3x + 8 = 20. First, subtract 8 from 8 and from 20 to get 3x = 12 because if you do 8 - 8, it will cancel the 8 out so you are left with the equation: 3x = 12. Next, you divide both sides by 3 to get x = 4. To double check that it is right, plug the 4 back in the equation: 3 (4) + 8 = 20.  3 times 4 equals 12. 12 + 8 equals 20. So, x = 4 is correct!

#2: If you do 20 divided by 5 for one side of the triangles (I'm using the smallest triangle), you'll get 4. If you do 12 divided by 3 for another side of the triangles, you'll get 4. So you can figure out with this information that you can do 4 times 4 (using the third side of the smallest triangle) to get x = 16.

HOPE THIS HELPS!     :)