CRE 3 - Geometric Centers | Geometry - Triangles
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An equilateral triangle has a side of 18 cm. find the in-radius and circum-radius of the triangle (in cm).
- (a)
3, 6
- (b)
2√3, 4√3
- (c)
3√3, 6√3
- (d)
None of these
Solution
Discuss
ReportIn a triangle with sides 6, 8 and 10. Find the inradius and circumradius.
- (a)
3, 6
- (b)
4, 10
- (c)
3, 5
- (d)
2, 5
In a triangle ABC, AD is the bisector of ∠A. if AB = 12 cm, AC =16 cm and BD = 3 cm, what is the length of BC?
In triangle PQR, angle bisectors of angles Q and R meet at point I. if ∠P = 80°, find ∠QIR (in degrees).
In triangle ABC, AD, BE are medians and G is the centroid. ∠AGE = 30°, AD =12, BE =18. Find the area of the triangle.
- (a)
36
- (b)
72
- (c)
144
- (d)
Can't be determined
O is the circumcenter of the triangle ABC with circum-radius 13 cm. Let BC = 24 cm and OD is perpendicular to BC. Then the length of OD is?
In ∆ABC, the medians AD and BE meet at G. The ratio of the areas of ∆BDG and the quadrilateral GDCE is?
- (a)
3 : 5
- (b)
1 : 4
- (c)
2 : 3
- (d)
1 : 2
In ∆ABC, AB = 3 cm, AC = 4 cm and BC = 5 cm. What is the length of AD, if D is the midpoint of side BC?
- (a)
6.25 cm
- (b)
√(18.75) cm
- (c)
2.5 cm
- (d)
√(12.5) cm
Sides of a triangle are 3, 6 and 9. Its circumcenter lies
- (a)
outside the triangle
- (b)
inside the triangle
- (c)
on the triangle
- (d)
either inside of outside the triangle
In a triangle with sides 9, 12 and 15 cm, find the distance of orthocenter from all three vertices.
- (a)
12
- (b)
36
- (c)
21
- (d)
None of these
- (e)
Cannot be determined
An equilateral triangle has a side of 10 cm. Find the area (in cm2) of the triangle formed by the centroid, circumcentre and incentre.
[Type in your answer as the nearest possible integer.]
∆ABC circumscribes a circle of radius 4 cm. If the sides of ∆ABC are 13, 14 and 15 respectively, find the area of ∆ABC.
- (a)
84
- (b)
42
- (c)
21
- (d)
96
- (e)
None of these