Perimeter of Triangle

Q. Question 7
The sides of a triangle are 35cm, 54cm, and 61cm respectively. The length of its longest altitude.

Q.

If the area of an isosceles right triangle is 8cm, what is the perimeter of the triangle.

1. $8+\sqrt{2}c{m}^2$
   

2. $8+4\sqrt{2}c{m}^2$
   

3. $4+8\sqrt{2}c{m}^2$
   

4. $12+\sqrt{2}c{m}^2$
   

Q.

A foot path of uniform width runs all around the inside of rectangular field $50m$ long and $38m$ wide. If the area of the path is $492m^2$, find its width?

Q.

If the three sides of a triangle are 11m, 15m and 6m.What is the semi perimeter of the triangle?

1. 15 m

2. 10 m

3. 16 m

4. 17 m

Q.

If two sides of a triangle are 8 cm and 6 cm and its perimeter is 26 cm. Find the third side of the triangle.

1. 10 cm

2. 12 cm

3. 9 cm

4. 11 cm

Q.

If the area of an equilateral triangle is $36\sqrt{3}c{m}^2,$ find its perimeter.

Q. An ox is tied to a pole situated at the center of a field, with a 10 m long rope. The ox moves keeping the rope tight. Find the area of the ground swept by the rope.( Use $\pi =3.14$)

1. $31.4m^2$
2. $614m^2$
3. $314m^2$
4. $416m^2$

Q. The sides of a triangle are 122 m, 22 m and 120 m respectively. Find the perimeter of the triangle.

Q.

If the area of an equilateral triangle is $16\sqrt{3}c{m}^2$, then the perimeter of the triangle is

Q. 6cm, 7cm and 9cm can represent sides of a triangle.

1. True
2. False

Q. Each side of an equilateral triangle is 8 cm. Its altitude is
(a) $2\sqrt{2}\mathrm{cm}$
(b) $2\sqrt{3}\mathrm{cm}$
(c) $4\sqrt{3}\mathrm{cm}$
(d) $2\sqrt{6}\mathrm{cm}$

Q. If the area of an isosceles right triangle is $8c{m}^2$, what is the perimeter of the triangle?

1. $8+4\sqrt{2}c{m}^2$
2. $8+\sqrt{2}c{m}^2$
3. $4+8\sqrt{2}c{m}^2$
4. $12\sqrt{2}c{m}^2$

Q.

Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?

Q.

A ladder of $10m$ long reaches a window$8m$ above the ground. Find the distance of the foot of the ladder from base of the wall.

Q. The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. The perimeter of this garden is:

Q. Find the third side of a triangle if s = 12 cm and the other two sides are 9 cm and 8 cm.

1. 8 cm
2. 9 cm
3. 5 cm
4. 7 cm

Q. What is the semiperimeter of a triangle with sides as 6 cm, 6 cm, and 8 cm?

1. 10 cm
2. 8.5 cm
3. 8 cm
4. 9.5 cm

Q.

The perimeter of a triangle is $30cm$ and the circumference of its incircle is $88cm.$ The area of the triangle is

1. $70c{m}^2$

2. $140c{m}^2$

3. $210c{m}^2$

4. $420c{m}^2$

Q. 6cm, 7cm and 9cm can represent sides of a triangle.

1. True
2. False

Q. The lengths of the sides of $\Delta ABC$ are consecutive integers. If $\Delta ABC$ has the same perimeter as an equilateral triangle with a side of length $9cm$, what is the length of the shortest side of $\Delta ABC$ ?

1. $10$
2. $4$
3. $8$
4. $6$

Q. In a ΔABC, D, E and F are, respectively, the mid-points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm, respectively, find the perimeter of ΔDEF.

Q.

The area of this triangle = ___ $c{m}^2$

Q. Match the two columns.
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The area of a triangle with base 4 cm and height 6 cm is:}& \left(p\right)\frac{5}{4}\sqrt{11}c{m}^2\\ \text{(B) If the perimeter of the isosceles triangle is 11cm and the}& \left(q\right)16\sqrt{3}c{m}^2\\ \text{base is 5 cm, then the area of the isosceles triangle is:}& \\ \text{(C) The area of the equilateral triangle, whose each side is}& \left(r\right)12c{m}^2\\ 8cmis:& \\ \text{(D) Area of an equilateral triangle with side a units:}& \left(s\right)\frac{\sqrt{3}}{4}{a}^{2}sq.unit\end{array}$

Q.

If the sides of a triangle are 5cm, 7cm and 7cm. Find the perimeter of the triangle.

1. 6

2. 12

3. $\frac{19}{2}$

4. 19

Q.

Find the area of given triangle in $c{m}^2$ [3 Marks]

Q. The perimeter of an equilateral triangle is 16.5 cm. Find the length of its side.

Q.

If the three sides of the triangle are 11m, 15m, and 6m, what is the semiperimeter of the triangle?

1. 15 m

2. 10 m

3. 17 m

4. 16 m

Q.

find the perimeter of a trianglewith sides 3i+4j+5k, 4i-3j-5k and 7i+j?

Q. The dimension of rectangular parallelopiped are in the ratio $6:5:4$ and its total surface area is $33300$ square meters. Find its volume.

Q.

In an isoceles triangle one side is 12cm(other than the equal sides) and its perimeter is 26cm.Find the area of the triangle.

1. √450

2. √78

3. 24

4. √468