Advertisements
Advertisements
प्रश्न
If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.
Advertisements
उत्तर
Given each angle of a triangle less than the sum of the other two
`∴∠A+∠ B+∠C`
`⇒∠A+∠A<∠A+∠B+∠C`
`⇒2∠A<180^@`
[Sum of all angles of a triangle]
`⇒∠A<90^@`
Similarly` ∠ B< 90^@ and ∠C<90^@`
Hence, the triangles acute angled.
APPEARS IN
संबंधित प्रश्न
Can a triangle have two right angles? Justify your answer in case.
Is the following statement true and false :
A triangle can have two right angles.
Fill in the blank to make the following statement true:
An exterior angle of a triangle is equal to the two ....... opposite angles.
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
Define a triangle.
State, if the triangle is possible with the following angles :
20°, 70°, and 90°
Find the value of the angle in the given figure:
Classify the following triangle according to angle:
In the given figure, AB is parallel to CD. Then the value of b is
Can we have two acute angles whose sum is a right angle? Why or why not?
