Triangles Test

Result

Triangles Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

The direct distance between city A and city B is 200 miles. The direct distance between city B and city C is 300 miles. Which could be the direct distance between city A and city C?

A
50 miles

B
350 miles

C
550 miles

D
650 miles

Solution

City A, B and C will form a triangle.

Now, we know that the sum of two sides of a triangle is greater than the third side.

Let the distance between city A and city C be x.

Therefore,

x + 200 > 300

x > 100

Also,

200 + 300 > x

x < 500

Therefore, 100 < x < 500

Only option B satisfy the condition.

Hence, B is the correct answer.
Question 2
1 / -0

If the vertex angle of an isosceles triangle is 30°, find the base angles.

A
65°

B
75°

C
85°

D
95°

Solution

We know that, sum of angles of a triangle = 180°

Let the base angle be x°

Now,

x + x + 30° = 180°

2x = 180° - 30°

2x = 150°

x = 75°

Hence, B is the correct answer.
Question 3
1 / -0

Which of the following is incorrect?

A
If two sides of a triangle are unequal, the longer side has greater angle opposite to it.

B
The sum of any two sides of a triangle is greater than the third side.

C
The distance between a line and a point lying on it is zero.

D
In a triangle the smaller angle has the longer side opposite to it.

Solution

Theorem: In a triangle, the greater angle has the longer side opposite to it.

Therefore, option D is incorrect.

Hence, D is answer.