Area of Triangle of an Isosceles Triangle

Q.

The base of an isosceles right triangle is $30cm$. Its area is

1. $225c{m}^2$

2. $225\sqrt{3}c{m}^2$
   

3. $450c{m}^2$

4. $225\sqrt{2}c{m}^2$
   

Q.

Find the area of an isosceles traingle having the base x cm and one side y cm.

Q.

An isosceles triangle has perimeter 40 cm and each of the equal sides is 15 cm. The area of the triangle is

1. 

2. 

3. 

4. 

Q.

The area of a triangle whose sides are 13cm, 12cm & 5cm is

1. 60 cm²

2. 30 cm²

3. 15 cm²

4. 900 cm²

Q.

The area of triangle, whose sides are 15 cm, 25 cm and 14 cm:

1. 17√23 cm²

2. 18√26 cm²

3. 20√26 cm²

4. 15√29 cm²

Q. Find the area of an isosceles triangle having the base x cm and one side y cm.

Q. A triangle has the sides a=3cm b=2cm and c=1cm. What is its area?

Q.

The area of a triangle with sides 37.5 cm, 37.5 cm and 45 cm and semi-perimeter 60 cm is

1. 675 cm²

2. 625 cm²

3. 575 cm²

4. 525 cm²

Q.

Find The area of a triangle measures 5 cm, 12cm, 13cm

Q.

The area of a triangle with sides 14 cm, 16 cm and 26 cm and semi-perimeter 28 cm is

1. 56√5 cm²

2. 56√3 cm²

3. 56 √7 cm²

4. 56√4 cm²

Q. 100. What is area of triangle with integral sides has perimeter 8 units

Q. Assertion: The area of an isosceles triangle having base = 8 cm and each of the equal sides = 5 cm is 12 cm².
Reason: The area of an isosceles triangle having each of the equal sides as a and base = b is $\frac{1}{4}b\sqrt{4a^2-b^2}$.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. What is the area of an isosceles triangle with equal sides as 13 cm and other side as 10 cm?

1. 50 sq. cm
2. 65 sq. cm
3. 60 sq. cm
4. 55 sq. cm

Q. Assertion: The area of an isosceles triangle having base = 24 cm and each of the equal sides equal to 13 cm is 60 cm².
Reason: If 2s = (a + b + c), where a, b, c are the sides of a triangle, then area $=\sqrt{s(s-a)(s-b)(s-c)}$.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q.

The area of a triangle with base $4cm$and height $6cm$is $24c{m}^2.$ Write True or False and justify your answer.

1. True
2. False

Q.

What is the area of a triangle whose three sides are a = 3 cm, b = 4 cm, c = 5 cm

1. 12 sq.unit

2. 6 sq.unit

3. 12 sq.unit

4. 18 sq.unit

Q. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle.

Q.

The area of a triangle with sides 10 cm, 7 cm and 7 cm and semi-perimeter 12 cm is

1. 16 √3 cm²

2. 10√6cm²

3. 20√7 cm²

4. 12√5 cm²

Q.

Find the area of an equlataral triangle having side 12xm

Q. What is the area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm?

1. $4\sqrt{3}c{m}^2$
2. 6 $c{m}^2$
3. 7 $c{m}^2$
4. 5 cm2cm2

Q.

The semi perimeter of a triangle is 132 cm. The product of the difference of semi perimeter and its respective sides is 13200 cubic cm. Find the area of the triangle.

Q. A box made of sheet metal costs Rs 1620 at Rs 30 per square metre. If the box is 5 m long and 3 m wide, find its height.

Q.

What is the area of an equilateral triangle whose side is 8cm?Also find the corresponding altitude of the base. [4 MARKS]

Q. The sides of a triangle are 7 cm, 9 cm and 14 cm. Its area is

(a)

(b)

(c)

(d)

Q.

An isosceles triangle has perimeter 36 cm If each of the equal sides is 10 cm, then the area of the triangle is _______________${\text{cm}}^2$

1. 38

2. 44

3. 45

4. 48

Q. Find the area of triangle by herons formula with sides 3, 4 , 7cms

Q.

The area of an equilateral triangle with side 12cm cannot be found.

1. True

2. False

Q.

If an isosceles triangle has a perimeter of $18cm$ and base $8cm$, then its area is ___ .

1. $45c{m}^2$

2. $68c{m}^2$

3. $12c{m}^2$

4. $20c{m}^2$

Q. One side of an equilateral triangle is $24$ cm. The mid-points of its side are joined to form another triangle. Again another triangle is formed by joining the mid-points of this triangle and the process is continued indefinitely. Determine the sum of the perimeters of all such triangles.

Q. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2.
Find the area of the triangle.

1. $\sqrt{32}c{m}^2$
2. $32c{m}^2$
3. $32\sqrt{2}c{m}^2$
4. $32\sqrt{4}c{m}^2$