Fast
juan drew a right triangle with leg length of 6 centimeters and 8 centimeters he wants to draw another triangle that is similar to the first one what could be the length of the legs
a. 9 centimeters and 16 centimeters
b. 18 cm and 24 centimeters
c. 16 centimeters and 18 centimeters
d. 3 centimeters and 5 centimeters

B    18 and 24

6x3=18

8x3=24

Option: B is the correct answer.

                       B. 18 cm and 24 centimeters

Step-by-step explanation:

We know that if two triangles are similar than the ratio of the corresponding sides of the two triangles are equal.

i.e. if there is a triangle with side lengths a,b and c units respectively and other triangle with the corresponding side lengths a',b' and c' respectively.

Then for two triangles to be similar we have:

Here we have:

Juan drew a right triangle with leg length of 6 centimeters and 8 centimeters .

Now we will check in each of the options whose ratio are equal:

A. 9 centimeters and 16 centimeters

and  

As  

Hence, option: A is incorrect.

B. 18 cm and 24 centimeters

and  

As both the ratios are equal.

                Hence, option: B is correct.

C. 16 centimeters and 18 centimeters

and  

As  

            Hence, option: C is incorrect.

D. 3 centimeters and 5 centimeters

and  

As  

    Hence, option: D is incorrect.

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no solution

step-by-step explanation:

there is not enough information in the problem to solve.