Theorem 2: Triangles
Trending Questions
- 15 cm2
- 35 cm2
- 50 cm2
- 70 cm2

- 48 cm2
- 24 cm2
- 48 cm2
- 12 cm2
In the given figure, ABCD is a quadrilateral. A line through D, parallel to AC, meets BC produced in P. Then:
(Area ΔABP) = Area(quad ABCD)
(Area ΔABC) = Area ΔACP)
(Area ΔBCD) = Area(quad ACPD)
None of these
In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 1728 square units, then area △ BEC = ____ square units.
- 864 square units
- 432 square units
- 400 square units
- 1728 square units
If two triangles have equal area and stand on the same base, then the altitudes of the triangle are equal.
True
False
If AD is median of ΔABC and P is a point on AC such that ar(ΔADP) : ar(ΔABD) = 2 : 3, then ar(ΔPDC) : ar(ΔABC) is ______ .
- 2 : 5
- 3 : 5
- 1 : 5
- 1 : 6
- P - different base, Q - different height, R - equal
- P - same base, Q - same parallels, R - same
- P - same base, Q - same parallels, R - half
- P - same base, Q - different height, R - half
AE || BC and D is the mid-point of BC. If area △ABC = 84 cm2, what is area of △BDE?
- 84 cm2
- 42cm2
- 63 cm2
- 21cm2
- 54 cm2
- 27 cm2
- 14 cm2
- 7 cm2
In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B parallel to AC meets DC produced at F. If the altitude of triangle ABC (perpendicular to AC) is 6 cm. Find the area of triangle ACF.
- 5 cm2
- 15 cm2
- 30 cm2
- 10 cm2