Question

HELP FAST PLEASE

Answer 1

Answer:

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:

                   $\dfrac{a}{a'}=\dfrac{b}{b'}=\dfrac{c}{c'}$

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

                $\dfrac{6}{9}=\dfrac{2}{3}$

and   $\dfrac{8}{16}=\dfrac{1}{2}$

As  $\dfrac{2}{3}\neq \dfrac{1}{2}$

Hence, option: A is incorrect.

B. 18 cm and 24 centimeters

            $\dfrac{6}{18}=\dfrac{1}{3}$

and   $\dfrac{8}{24}=\dfrac{1}{3}$

As both the ratios are equal.

                Hence, option: B is correct.

C. 16 centimeters and 18 centimeters

            $\dfrac{6}{16}=\dfrac{3}{8}$

and   $\dfrac{8}{18}=\dfrac{4}{9}$

As  $\dfrac{3}{8}\neq \dfrac{4}{9}$

            Hence, option: C is incorrect.

D. 3 centimeters and 5 centimeters

           $\dfrac{6}{3}=\dfrac{2}{1}$

and   $\dfrac{8}{5}$

As  $\dfrac{2}{1}\neq \dfrac{8}{5}$

    Hence, option: D is incorrect.

Answer 2

B    18 and 24

6x3=18

8x3=24