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4 years ago

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]4 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]4 years ago

3 0

Height to base = 3 : 4 or 0.75

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