Lakshya Education MCQs

Question: Pythagoras' theorem holds good for right angled triangles.
Options:
A.True
B.False
C.60∘
D.120∘
Answer: Option A
: A

In a right angled triangle, square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides. This is Pythagoras' theorem.​

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Question 1. Two angles of a triangle are 50​ and 70​. The third angle is:
  1.    50∘
  2.    70∘
  3.    60∘
  4.    120∘
Answer: Option C
: C

The sum of all the angles of a triangle is 180​. Therefore,
Third angle=180(50+70)=180(120)=60
Question 2. Consider the figure:

If BC = AC, x = 2y, and angle ∠ACB = 60o, then the value of ∠B + y (in degrees) is


___

: C = 60​ and BC = AC,
By angle sum property of triangle, A = B = 60
Also,
ACB+x+y=1800 [ BCD is straight line]
60+2y+y=180
60+3y=180
3y=18060
y=40
Hence, B+y=60+40=100
Question 3. Median and altitude of an isosceles triangle are one and the same.
  1.    True
  2.    False
  3.    60∘
  4.    120∘
Answer: Option A
: A

In an isosceles triangle, both median and altitude are same.

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