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butalik [34]
3 years ago
6

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

Mathematics
2 answers:
liq [111]3 years ago
7 0

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.

alexgriva [62]3 years ago
3 0
Height to base =  3 : 4  or 0.75
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