Advertisements
Advertisements
प्रश्न
In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PR > PS
Advertisements
उत्तर
In ΔPQS,
PS ⊥ QR ....(Given)
PS < PR ....(Of all the straight lines that can be drawn to a given straight line from a point outside it, the perpendicular is the shortest.)
I.e. PR > PS.
APPEARS IN
संबंधित प्रश्न
In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Show that AC > AB.

In the given figure, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR >∠PSQ.

ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC.
In a triangle PQR; QR = PR and ∠P = 36o. Which is the largest side of the triangle?
In the following figure, write BC, AC, and CD in ascending order of their lengths.
"Issues of caste discrimination began to be written about in many printed tracts and essays in India in the late nineteenth century." Support the statement with two suitable examples.
ΔABC is isosceles with AB = AC. If BC is extended to D, then prove that AD > AB.
For any quadrilateral, prove that its perimeter is greater than the sum of its diagonals.
In the given figure, ∠QPR = 50° and ∠PQR = 60°. Show that: SN < SR
In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that PT < QT
