Advertisements
Advertisements
प्रश्न
The bisectors of base angles of a triangle cannot enclose a right angle in any case.
Advertisements
उत्तर
In a ABC
Sum of all angles of triangles is `180^@`
i.e, `∠ A+∠ B+∠C =180^@` divide both sides by `2`
⇒ `1/2∠A+1/2∠B+1/2∠C=180^@`
⇒`1/2∠A+∠OBC+∠OBC=90^@` [∵ OB,OC insects ∠B and ∠C]
⇒`∠OBC+∠OCB=90^@-1/2A`
Now in `Δ OCB=180^@`
`∴ ∠ BOC+∠OBC+∠OCB=180^@`
⇒`∠ BOC+90^@-1/2∠A=180^@`
⇒ `∠ BOC=90^@-1/2 ∠A`
Hence, bisectors of a base angle cannot enclose right angle.
APPEARS IN
संबंधित प्रश्न
Determine the measure of each of the equal angles of a right-angled isosceles triangle.
OR
ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
In the given figure, AB || DE. Find ∠ACD.
Is the following statement true and false :
Sum of the three angles of a triangle is 180 .
Is the following statement true and false :
If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
If the angles of a triangle are equal, find its angles.
Find the unknown marked angles in the given figure:
One angle of a triangle is 60°. The other two angles are in the ratio of 5: 7. Find the two angles.
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
Which two triangles have ∠B in common?
