Question

A triangle with side 5,11 and 15 is similar to another triangle with longest side of length 24. Find the perimeter of larger triangle.

Answer 1

Answer:

The perimeter is  49.6  units

Step-by-step explanation:

Since we know that  24  is the longest side, we can assume that is is similar to the longest side of the first triangle. Already, we know that we have a scale factor: 

24:15  

or  

24 / 15

(largest side of second triangle : largest side of first triangle)

If we simplify that down, we get,

8 / 5

Now we can scale the other 2 sides using this scale factor. Since our scale is:

large  / small

we need to set up a proportion in the same way. That means that our proportions will look like  

8  / 5  =  x  / 11

and  

8  / 5  =  x  / 5

When we cross multiply we get  

88  =  5x

and  

40  = 5x

We can solve them out to get that our side lengths are:

8  and  17.6

We can add all 3 sides together,  

24  +  17.6 + 8 = P

 P  = 49.6

==> perimeter is 49.6 units

__________

hope it helps. please mark brainliest :)

Answer 2

See the above image and your doubt would be clear

Mark as BRAINLIEST!!