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G.4.3.2 30-60-90 Triangles

Topic:
Square
On the previous page we noticed the following relationship between the sides of a 30-60-90 triangle. We can generalize the relationship with the following picture below. The length of the hypotenuse is twice the length of short leg. The length of the long leg is the length of the short leg multiplied by √3.

Now, without making any calculations, find the value of x and y.

Now, without making any calculations, find the value of a and b.

Now, without making any calculations, find the value of m and n.

Now, without making any calculations, find the value of x and y.

Now, without making any calculations, find the value of x and y.

Now, without making any calculations, find the value of a and b.