In the adjacent figure the sides AB and AC of `Delta ABC `are produced to points E and D respectively. If bisectors BO and CO of `angleCBE` and `angleBCD` respectively meet at point O, then prove that `angleBOC = 90^(@)-(1)/(2) angleBAC`.
In the given figure, sides AB and AC of triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB . Show that AC gt AB
In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.
In the given figure, the side QR of DeltaPQR is produced to a point S. If the bisectors of anglePQR and anglePRS meet at point T, then prove that angleQTR=(1)/(2)angleQPR .
In the adjacent figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC||PR. Show that BC || QR.
In the adjacent figure, AB || CD, ‘t’ is a transversal intersecting E and F respectively. If ∠2 : ∠1 = 5 : 4, find the measure of each marked angles.
If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to
if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF
In the given figure triangle ABC side AC has been produced to D. angleBCD = 125^(@) and angleA:angleB= 2 : 3 , find the measure of angleA and angleB
If a line intersects sides AB and AC of a triangleABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC) (see the given figure).
E and F are respectively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.
NCERT GUJARATI-LINES AND ANGLES -THINK, DISCUSS AND WRITE
