In convex quadrilateral `AEBC, /_BEA=/_CAE=90^(@)` and `AB=15,BC=14` and `CA=13.` Let `D` be the foot of the altitude from `C` to `bar(AB)`. If ray CD meets `bar(AE)` at `F` ,compute `AE*AF.`

In a Delta ABC,AB=52,BC=56,CA=60 Let D be the foot of the altitude from A and E be theintersection of the internal angle bisector of /_BAC with BC.Find the length DE.

In the pentagon A, B, C, D, E AB=AE=12, CD=DE=3 and BC=6. Which of the following can be the value(s) of the angleBAE ?

In DeltaABC,angleC =90^(@). If BC=a, CA=b, AB=c and the length of the altitude from vertex C on side AB is p, then show that i. cp=ab ii. (1)/(p)^(2)=(1)/(a)^(2)+(1)/(b)^(2)

Triangle ABC has AC=13,AB=15 and BC=14. Let 'O' be the circumcentre of the Delta ABC. If the length of perpendicular from the point 'O' on BC can be expressed as a rational (m)/(n) in the lowest form then find (m+n).

In triangle ABC,/_C=90^(@),AC=6 and BC=8 Points D and E are on bar(AB) and bar(BC) respectively,and /_BED=90^(@). If DE=4 then BD=

The base of a right prism is a quadrilateral ABCD. Given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and angleDAB = 90^(@) . If the volume of the prism be 2070 cm^(3) , then the area of the lateral surface is