Advertisements
Advertisements
प्रश्न
Which of the following statements are true (T) and which are false (F)?
Sum of the three sides of a triangle is less than the sum of its three altitudes.
Advertisements
उत्तर
False (F)
Reason: Sum of these sides of a triangle is greater than sum of its three altitudes
APPEARS IN
संबंधित प्रश्न
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that
- ΔABE ≅ ΔACF
- AB = AC, i.e., ABC is an isosceles triangle.

In Fig. 10.23, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT (ii) ∠TQR = 15°
BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.
PQR is a triangle in which PQ = PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS = PT.
Fill the blank in the following so that the following statement is true.
Angle opposite to equal sides of a triangle are .....
Fill the blank in the following so that the following statement is true.
If altitudes CE and BF of a triangle ABC are equal, then AB = ....
In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle.
Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm?
Prove that the perimeter of a triangle is greater than the sum of its altitudes.
Fill in the blank to make the following statement true.
The sum of any two sides of a triangle is .... than the third side.
If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.
If the angles A, B and C of ΔABC satisfy the relation B − A = C − B, then find the measure of ∠B.
In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is
The side BC of ΔABC is produced to a point D. The bisector of ∠A meets side BC in L. If ∠ABC = 30° and ∠ACD = 115°, then ∠ALC = ______.
If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer
In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.
AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2AD? Give reason for your answer.
