2 years ago

Identify the similar triangles. Find each measure.

1 answer:

5 0

Answer:

Example: these two triangles are similar: If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°. So AA could also be called AAA (because when two angles are equal, all three angles must be equal)

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Determine the value of each variable in the figure below. Keep answers in simplest radical form.

Tanzania [10]

Answer:

a = 21

b = 63

c = 42√3

d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

a = 42/2 = 21

a+b = 2(42) = 84

b = (a+b) -a = 84 -21 = 63

d = 21√3 . . . . middle-length side of the smallest triangle

c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...