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Geometry
Prove that if two lines in same plane are cut by a transversal then the two lines are parallel if and only if a pair of interior angles on the same side of the transversal are supplementary.
Geometry
prove a parallelogram is a square if and only if its diagnols are both congruent and perpendicular.
Geometry
Prove that the base angles of an isoceles trapezoid are congruent.
Geometry
The volume of a frustum of a right circular cone is 52π cm3 . its altitude is 3cm and the measure of its lower radius is three times the measure of its upper radius.
- What is the radius of the upper base?
- what is the slant height of the frustum?
- find the lateral area of the frustum.
Geometry
Two concentric circles have radii of 1.2m and 2.8m. the central angle is 60grad. find the area of the portion of the sector of the larger circle, which is outside the circle. The final answer must be 3.35m2
Geometry
Let AK, BL, CN be angle bisectors of triangle ABC, and they intersect at point I. It is known that the ratios of areas of triangles ANL , BKN and CLK to the area of triangle ABC are equal to (7/39), (9/65) and (7/15) respectively. Find the ratio of IK:AI
Geometry
A right circular cone is inscribed in a cube having a diagonal which
measures 20 square root of 3 cm.
1. What is the altitude of the cone?
measures 20 square root of 3 cm.
1. What is the altitude of the cone?
Geometry
A monument is a stone structure in the form of a frustum of a regular square pyramid whose height is 50m and whose base edges are 4.5m and 10m respectively. Through the center of the monument is a circular opening 3m in diameter at the top and 6m in diameter at the bottom. Refer to figure 1.
8. What is the slant height of the opening?
9. What is the lateral surface area of the opening?
10. Find the volume of stone in the monument.
8. What is the slant height of the opening?
9. What is the lateral surface area of the opening?
10. Find the volume of stone in the monument.
Geometry
The volume of a frustum of a right circular cone is 52π cm3. Its altitude is 3cm and the measure of its lower radius is three times the measure of its
upper radius.
5. What is the radius of the upper base?
6. What is the slant height of the frustum?
7. Find the lateral area of the frustum.
upper radius.
5. What is the radius of the upper base?
6. What is the slant height of the frustum?
7. Find the lateral area of the frustum.
Geometry
A right circular cone is inscribed in a cube having a diagonal which
measures 20 square root of 3 cm.
3. What is the surface area of the cone?
4. What is the volume of the space between the cone and the cube?
measures 20 square root of 3 cm.
3. What is the surface area of the cone?
4. What is the volume of the space between the cone and the cube?
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#340153 on Dec 2023
#340153 on Dec 2023