Question

The diagram shows the measurements of 2 triangles in cm. What is the value of x that proves the triangles above are similar? 35 cm 112.5 cm 2 cm 18 cm

Answer 1

Two triangles are similar when their corresponding angles are congruents (have the same measure) and the corresponding sides are in proportion.

Then, you can use the knowing sides to know the value of the x.

The corresponding sides are:

15cm and 6cm

45cm and x

Then, you can use a rule of three, as follow:

Then, x is: 18cm$x=\frac{45\cdot6}{15}=\frac{270}{15}=18$