Question

The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?

Answer 1

Answer:  The correct option is (A) 0.75.

Step-by-step explanation: Given that the two right-angled triangles in the figure are similar. We are to find the ratio of the height to the base for the triangles.

In the first triangle,

height, h = 6 units  and  base, b = 8 units,

In the second triangles,

height, h' = 3 units  and  base, b' = 4 units.

Since the two triangles are similar, so the corresponding sides will be proportional.

We can see that

$\dfrac{h}{h'}=\dfrac{b}{b'}=\dfrac{6}{8}=\dfrac{3}{4}=0.75.$

Hence, we can write

$\dfrac{h}{b}=\dfrac{h'}{b'}=0.75$

Therefore, the ratio of the height to the base of the triangles is 0.75.

Thus, (A) is the correct option.

Answer 2

Height to base =  3 : 4  or 0.75