Advertisements
Advertisements
Question
Fill the blank in the following so that the following statement is true.
Sides opposite to equal angles of a triangle are ......
Advertisements
Solution
Sides opposite to equal angles of a triangle are equal
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
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 figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD
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.
Prove that the medians of an equilateral triangle are equal.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
In Figure 10.24, AB = AC and ∠ACD =105°, find ∠BAC.
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.
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):
Sides opposite to equal angles of a triangle may be unequal
Which of the following statements are true (T) and which are false (F):
The two altitudes corresponding to two equal sides of a triangle need not be equal.
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.
ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = \[\frac{1}{2}\] ∠A.
In ΔABC, if ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B =
In the given figure, if AB ⊥ BC. then x =

In the given figure, for which value of x is l1 || l2?

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.
Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2(BD + AC)
In a triangle ABC, D is the mid-point of side AC such that BD = `1/2` AC. Show that ∠ABC is a right angle.
