Advertisements
Advertisements
प्रश्न
In the following figure, AD is the bisector of ∠BAC. Prove that AB > BD.
Advertisements
उत्तर
Given: ABC is a triangle such that AD is the bisector of ∠BAC.
To prove: AB > BD.
Proof: Since, AD is the bisector of ∠BAC.
But ∠BAD = CAD ...(i)
∴ ∠ADB > ∠CAD ...[Exterior angle of a triangle is greater than each of the opposite interior angle]
∴ ∠ADB > ∠BAD ...[From equation (i)]
AB > BD ...[Side opposite to greater angle is longer]
Hence proved.
APPEARS IN
संबंधित प्रश्न
In a ΔABC, ∠ABC = ∠ACB and the bisectors of ∠ABC and ∠ACB intersect at O such that ∠BOC = 120°. Show that ∠A = ∠B = ∠C = 60°.
Fill in the blank to make the following statement true:
Sum of the angles of a triangle is ....
Define a triangle.
In ΔRST (See figure), what is the value of x?
State, if the triangle is possible with the following angles :
20°, 70°, and 90°
Find x, if the angles of a triangle is:
x°, 2x°, 2x°
One angle of a right-angled triangle is 70°. Find the other acute angle.
The correct statement out of the following is 
The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D as shown in the following figure. Prove that the image is as far behind the mirror as the object is in front of the mirror.
[Hint: CN is normal to the mirror. Also, angle of incidence = angle of reflection].
Jincy used these shapes to make drawings of fish.
Now you also use some shapes to draw the different sea animals shown below.
Sea urchin
Lobster
Eel
Red snapper
Octopus
Clam
Parrotfish
Prawn
Cuttlefish
Jellyfish
Squid
Silver pomfret
Crab
