Heron`s Formula Test

Result

Heron`s Formula Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The perimeter of an isosceles triangle ABC is 40 cm. If AB = BC = a cm and AC = 10 cm, then what is the area of the triangle?

A

B

C

D

Solution

a + a + 10 = 40
2a + 10 = 40
2a = 30
a = 15
Sides are 15 cm, 15 cm, 10 cm.
S = cm
Area =
=
=
=
=
Question 2
1 / -0

Palavi has a toy of the given shape.

How much area does the toy cover?

A
8(2 +) cm²

B
8(3 + 2) cm²

C
8(1 +) cm²

D
8(2 + 3) cm²

Solution

Since all sides of ABCD are the same, so ABCD is a square.
Area of ABCD = (side)² = 4² = 16 cm²
Now, there are 4 triangles of same shape and size.
Area of all triangles = 4 area of AMB
Now, area of AMB =
S =
Area of AMB =
=
=
Area of all triangles = 4 2 cm² = cm²
Total area of the toy =
=
Question 3
1 / -0

Find the area of a triangle whose sides are 10 cm, 12 cm and 10 cm.

A
54 cm²

B
48 cm²

C
60 cm²

D
96 cm²

Solution

Three sides of a triangle are given as:
a = 10 cm, b = 12 cm, c = 10 cm
s = = = = 16 cm
Now area =
=
=
= =
= 4 x 6 x 2 = 48 cm²
Question 4
1 / -0

Find the area of an isosceles triangle with base 6 cm and the length of each equal side as 5 cm.

A
12 cm²

B
10 cm²

C
14 cm²

D
30 cm²

Solution

s =
s =
s = = 8
s = 8 cm
Now,
Area =
Area =
Area =
Area =
Area = 2 × 2 × 3 = 4 × 3
Hence, area = 12 cm²
Question 5
1 / -0

If the sides of a triangle are 25 cm, 39 cm and 56 cm, then find the altitude to its longest side.

A
15 cm

B
20 cm

C
12 cm

D
24 cm

Solution

s =
s = = 60 cm
Area =
=
Area =
Area =
Area = 2 x 2 x 3 x 7 x 5 = 420 cm²
Now, Area = x base x height
Height = = 15 cm
Question 6
1 / -0

In a parallelogram ABCD, AB = 8 cm, BC = 7 cm and BD = 5 cm. The area of the parallelogram is

A
cm²

B
10cm²

C
cm²

D
20cm²

Solution
Question 7
1 / -0

ABC is a scalene triangle. If AB = 6 cm, BC = 5 cm and AC = 3 cm, then the area of the triangle is

A
cm²

B
cm²

C
cm²

D
cm²

Solution
Question 8
1 / -0

In a parallelogram ABCD, AB = 13 cm, BC = 10 cm and AC = 9 cm. The area of the parallelogram is equal to

A
cm²

B
24cm²

C
12 cm²

D
cm²

Solution
Question 9
1 / -0

In ABC, AB = 8 cm, BC = 7 cm and AC = 5 cm. The area of the triangle is

A
cm²

B
cm²

C
cm²

D
60 cm²

Solution
Question 10
1 / -0

Rani made a Rangoli design, which had eight triangles of the same dimensions. How much area does the Rangoli pattern cover?

A

B

C

D

Solution
Question 11
1 / -0

In ABC, AB = 7 cm, BC = 6 cm and AC = 3 cm. The area of the triangle is

A
cm²

B
cm²

C
cm²

D
cm²

Solution
Question 12
1 / -0

If a side of a rhombus is 8 cm and length of one of its diagonals is 10 cm, then its area is

A
10cm²

B
5cm²

C
cm²

D
10cm²

Solution
Question 13
1 / -0

In MNP, MN = 7 cm, NP = 10 cm and MP = 11 cm. The area of MNP is equal to

A
cm²

B
2 cm²

C
14cm²

D
2cm²

Solution
Question 14
1 / -0

What is the total area of the given figure if all the six triangles are of the same dimensions?

A

B

C

D

Solution
Question 15
1 / -0

Amit wants to cover the given pattern with tiles. How many tiles will he need if one tile covers an area of ?

A
20

B
15

C
30

D
45

Solution