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About This Drill
ACT Math — Geometry — Drill 4 is a Math practice drill covering Geometry. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.
This drill covers the 45-45-90 special right triangle, vertical and supplementary angle relationships, volume of a cone, finding the area of a triangle using coordinates, and basic right triangle trigonometry.
Questions in This Drill
- An isosceles right triangle has legs of length 9. What is the length of the hypotenuse?
- Two lines intersect at a point, forming four angles. One of the angles measures (3x + 10)° and the angle directly across from it (its vertical angle) measures (5x − 30)°. What is the measure of each of the other two angles?
- A cone has a radius of 6 and a height of 10. What is the volume of the cone, in terms of π?
- A triangle has vertices at P(0, 0), Q(8, 0), and R(3, 5). What is the area of the triangle?
- In right triangle ABC, angle C = 90°, AB = 13, and BC = 5. What is the value of sin(A)?