Geometry Answers

1. The ratio of the base of an isosceles triangle to its altitude is 3:4. Find the measures of the angles of the triangle.
2. Two altitudes of an isosceles triangle are equal to 20 cm and 30 cm. Determine the possible measures of the base angles of the triangle.
3. The area of a triangle is equal to 48cm^2 and two of its sides measure 12 cm and 9 cm, respectively. Find the possible measures of the included angles of the given sides.

Find the area of a square shown to the right. 27.4 The area is km, km2. Type a whole number or a decimal. Round to the nearest tenth as needed.

Can a sphere be trisected from the center to the surface in three equal volumes?

a trough 15 m long and has bottom 30 cm and 60 cm. its cross-section is a trapezium. find its volume

In a triangle ABC, E is the midpoint of BC and D is a point on AB such that AD : DB = 2 : 1. If CD and AE intersect at P, determine the ratio CP : PD.

Theorem 3-9 states that in a plane,two lines perpendicular to the same line are parallel.Explain why the phrase "in a plane" is needed

Find the perimeter of the figure. https://ka-perseus-graphie.s3.amazonaws.com/eb8635a8059b2c69ad19bf8d44f5a7a7885cf622.png

Let ABC be a triangle with angle A = 90 and AB = AC. Let D and E be points on the segment
BC such that BD : DE : EC = 3 : 5 : 4. Prove that angle DAE = 45.

To the nearest pound, how much grain with the Silo hold if the height of the ladder is 40 feet and the radius is 6 feet? (1 cubic foot = 62.43 pounds)

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

B = 104°, a = 11 cm, c = 18 cm