Advertisements
Advertisements
Question
In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
Advertisements
Solution
Given that in ΔABC,
∠B=∠C=45°
We have to find longest side
We know that,
Sum of angles in a triangle=180°
⇒∠A+∠B+∠C=180°
⇒∠A+45°+45°=180°
⇒∠A=180°-(45°+45°)=180°-90°=90°
∴ ∠A=90°
APPEARS IN
RELATED QUESTIONS
Find the measure of each exterior angle of an equilateral triangle.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Prove that each angle of an equilateral triangle is 60°.
ABC is a triangle in which ∠B = 2 ∠C. D is a point on BC such that AD bisects ∠BAC and AB = CD.
Prove that ∠BAC = 72°.
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 bisectors of two equal angles of a triangle are equal
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
Fill in the blank to make the following statement true.
In a right triangle the hypotenuse is the .... side.
Fill in the blank to make the following statement true.
If two sides of a triangle are unequal, then the larger side has .... angle opposite to it.
In the given figure, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find x and y.
In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is
In the given figure, what is z in terms of x and y?
In the given figure, what is the value of x?
In the given figure, AB and CD are parallel lines and transversal EF intersects them at Pand Q respectively. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then
The angles of a right angled triangle are
D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.
It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer
