Triangles Test

Result

Triangles Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

In Δ"PQR, if PQ = QR and PR < QR, Δ"PQR is ______.

A
a right–angled triangle

B
a scalene triangle

C
an equilateral triangle

D
an isosceles triangle

Solution

In ΔPQR,
PQ = QR and PR < QR

i.e. two sides of triangle PQR are equal. The triangle whose two sides are equal is called an isosceles triangle.
Question 2
1 / -0

Which of the following combinations of measurements represents the sides of a triangle?

A
5 cm, 3 cm, 10 cm

B
19 cm, 10 cm, 4 cm

C
8 cm, 7 cm, 12 cm

D
2 cm, 3 cm, 6 cm

Solution

The sum of two sides of a triangle must be greater than the third side.
And, if the sides of triangle are 8 cm, 7 cm and 12 cm, then 8 + 7 = 15 > 12
8 + 12 = 20 > 7
7 + 12 = 19 > 8
So, the sum of two sides is always greater than the third side.
Question 3
1 / -0

Which of the following combinations of measurements represents the sides of a triangle?

A
4 cm, 6 cm, 1 cm

B
5 m, 6 m, 9 m

C
7 mm, 8 mm, 16 mm

D
2 m, 5 m, 1 m

Solution

In a triangle, the sum of two sides must be greater than the third side.
And if the sides of triangle measure 5 m, 6 m and 9 m, then
5 + 6 = 11 > 9
5 + 9 = 14 > 6
6 + 9 = 15 > 5
Question 4
1 / -0

In ΔABC, AB = BC and CA = AB. ΔABC is a/an

A
equilateral triangle

B
isosceles triangle

C
scalene triangle

D
right–angled triangle

Solution

In ΔABC, AB = BC and CA = AB
⇒ AB = BC = CA

i.e. all the three sides of the triangle are equal. The triangle whose all the three sides are equal is called an equilateral triangle.