Question
The perimeter of a rectangular field is 20 metres and
its area is 18 m2 . What is the length of the diagonal of this field?Solution
Let the length and breadth of the rectangular field be ‘p’ metres and ‘q’ metres respectively Then, according to the question, 2 × (p + q) = 20 Or, (p + q) = 20/2 = 10…… (1) Also p × q = 18 We know, (p + q)2 = p2 + q2 + 2pq Or, p2 + q2 = 102 – 2 × 18 Or, p2 + q2 = 64 So, length of the diagonal of the rectangular field = √(length2 + breadth2) = √(p2 + q2) = √64 = 8 metres
AC and CE are the medians of triangle ABD and ACD respectively. If area of triangle ACE is 15 cm 2 , then find the area of triangle ABD.
B1 is a point on the side AC of ∆ ABC and B1B is joined. line is drawn through A parallel to B1B meeting BC at A1 and another line is drawn through C ...
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, �...
Find the area of triangle having sides 7 m, 24 m, and 25 m.
In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.
In a given Figure, ON ∥ QR and MN ∥ OR.
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?
PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
If the points P(2, 3), Q(5, a) and R(6, 7) are co-linear, then find the value of 'a'.
Relevant for Exams:
