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3 years ago

Given △QRS ~ △XYZ, what is the value of tan(Q)?

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

Since the triangles are similar the ratios of the lengths of corresponding sides are equal.

tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4

agasfer [191]3 years ago

3 0

The correct answer is

B. $\frac{3}{4}$

Given △QRS ~ △XYZ, the value of tan(Q) is $\frac{3}{4}$ .

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$(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2$

Hypotenuse=12 cm

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Now, using Pythagoras theorem

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