Advertisements
Advertisements
Question
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle.
Advertisements
Solution
If one angle of a triangle is equal to the sum of other two
i.e, `∠ B=∠ A+∠C`
Now, in ΔABC
(Sum of all aangles of triangle `180^@`)
`∠ A+∠B+∠ C=180^@`
`∠ B+∠ B=180^@` [∵ ∠ B=∠ A+∠ C]
`2∠ B=180^@`
`∠ B=180^@/2`
`∠ B=90^@`
∴ABC is a right angled a triangle
APPEARS IN
RELATED QUESTIONS
In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C.
Compute the value of x in the following figure:
Is the following statement true and false :
Sum of the three angles of a triangle is 180 .
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
The bisects of exterior angle at B and C of ΔABC meet at O. If ∠A = x°, then ∠BOC =
If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be ______.
As shown in the figure, Avinash is standing near his house. He can choose from two roads to go to school. Which way is shorter? Explain why.
The angles of the triangle are 3x – 40, x + 20 and 2x – 10 then the value of x is
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
