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.
संबंधित प्रश्न
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.
In the following figure, ∠BAC = 60o and ∠ABC = 65o.

Prove that:
(i) CF > AF
(ii) DC > DF
Name the greatest and the smallest sides in the following triangles:
ΔDEF, ∠D = 32°, ∠E = 56° and ∠F = 92°.
Name the greatest and the smallest sides in the following triangles:
ΔXYZ, ∠X = 76°, ∠Y = 84°.
Prove that the hypotenuse is the longest side in a right-angled triangle.
In the given figure, ∠QPR = 50° and ∠PQR = 60°. Show that : PN < RN
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 RT < QT
Prove that in an isosceles triangle any of its equal sides is greater than the straight line joining the vertex to any point on the base of the triangle.
