SAT II Math I : Right Triangles and Similar Triangles
Study concepts, example questions & explanations for SAT II Math I
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Example Questions
Example Question #643 : Sat Subject Test In Math I
Find the area of the triangle.
Dropping the altitude creates two special right triangles as shown in the diagram. Use the area formula of a triangle to get
Example Question #644 : Sat Subject Test In Math I
Fire tower A is 
Fire tower A; 0.24 miles
The two fire towers are equidistant to the fire.
Fire tower B; 0.24 miles
Fire tower A; 1.53 miles
Fire tower B; 1.29 miles
Fire tower B; 0.24 miles
First, realize that the angles given are from due north, which means you need to find the complements to find the interior angles of the triangle. This triangle happens to be a right triangle, so the fast way to compute the distances is using trigonometry.
Fire tower B is 
Example Question #645 : Sat Subject Test In Math I
Find the length of side 
In an angle-side-angle problem, Law of Sines will solve the triangle.
First find angle A:
Then use Law of Sines.
Example Question #4 : Right Triangles And Similar Triangles
What is the length of the leg of a right triangle whose hypotenuse is 5cm and other leg is 4cm?
One leg is 4cm and the hypotenuse is 5cm. Plug in 4 for one of the legs and 5 for the hypotenuse (c).
Subtracting 16 from either side of the equation gives us:
The last step is to take the square root both sides resulting in:
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