Question

The lengths of the sides of a triangle are in the extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in centimeters?

16 cm
192 cm
160 cm
48 cm

Answer 1

@lalaly what do i do for this 1

Answer 2

tsince the ratio is 3:10:12 the sides can be written as
3x , 10x and 12x

and perimiter is sum of sides
3x+10x+12x=400

Answer 3

ok so i add all of those up then divide?

Answer 4

yes

Answer 5

ok thank you so much

Answer 6

You are given with ratios:

Let the first side be : 3x
Let the second side be : 10x
Let the third side be : 12x

Now,

Perimeter = Sum of all the sides,

3x + 10x + 12x = 400

25x = 400

Find x from here..

Then find the third side that is 12x...

Answer 7

ok ty

Answer 8

its 16 right?

Answer 9

Yes but this is not the answer..
You have to find the largest side..

Answer 10

so 12 times 16?

Answer 11

192?

Answer 12

Yes you are absolutely correct..

Answer 13

ok thanks

Answer 14

Welcome dear..