Advertisements
Advertisements
प्रश्न
In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that PT < QT
Advertisements
उत्तर
In ΔPQR,
PQ = QR = PR
⇒ ∠P = Q = ∠ = 60°
In ΔPQT,
∠PQT < 60°
∴ ∠PQT < ∠P
∴ PT < QT.
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, ∠B < ∠A and ∠C < ∠D. Show that AD < BC.
Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?
How had the position of women improved in our country since independence ? Explain with examples.
From the following figure, prove that: AB > CD.
In the following figure, write BC, AC, and CD in ascending order of their lengths.
Name the smallest angle in each of these triangles:
In ΔABC, AB = 6.2cm, BC = 5.6cm and AC = 4.2cm
In a triangle ABC, BC = AC and ∠ A = 35°. Which is the smallest side of the triangle?
For any quadrilateral, prove that its perimeter is greater than the sum of its diagonals.
ABCD is a quadrilateral in which the diagonals AC and BD intersect at O. Prove that AB + BC + CD + AD < 2(AC + BC).
