Advertisements
Advertisements
Question
Which of the following statements are true (T) and which are false (F)?
If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it.
Advertisements
Solution
True (T)
Reason: The side opposite to greater angle is longer and smaller angle is shorter in a triangle
APPEARS IN
RELATED QUESTIONS
In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:
- OB = OC
- AO bisects ∠A
Show that the angles of an equilateral triangle are 60° each.
If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.
ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that LN = MN.
Which of the following statements are true (T) and which are false (F):
The measure of each angle of an equilateral triangle is 60°
In ΔABC, side AB is produced to D so that BD = BC. If ∠B = 60° and ∠A = 70°, prove that: (i) AD > CD (ii) AD > AC
Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm?
Fill in the blank to make the following statement true.
If two angles of a triangle are unequal, then the smaller angle has the........ side opposite to it.
In the given figure, if BP || CQ and AC = BC, then the measure of x is

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.
In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______.
It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2(BD + AC)
