Triangle

Q.

An isosceles right triangle has area $8c{m}^2$. The length of its hypotenuse is

1. $\sqrt{32}cm$

2. $\sqrt{16}cm$

3. $\sqrt{48}cm$

4. $\sqrt{24}cm$

Q.

A field is in the shape of trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m. Find the area of the field.

Q.

The sum of all the 3 sides of a triangle is called-

__

Q.

The semi perimeter of an equilateral triangle having side 10 cm is __.

Q. 29. In Δ ABC, AB=5cm, BC=8cm and AC=9cm. Find the area of ΔABC

Q.

The height of a triangle is twice the base of the triangle. What will be the area of the triangle if the base is 'x' units? [1 MARK]

Q.

Find the value of X in the figure below:

1. 60${}^{\circ }$
2. 70${}^{\circ }$
3. 80${}^{\circ }$
4. 100${}^{\circ }$

Q.

The semi-perimeter of an isosceles triangle is 12 cm. The length of its unequal side is 10 cm.

What is the length of each equal side of the triangle?

1. 6 cm

2. 7 cm

3. 8 cm

4. 9 cm

Q. The area of a triangle whose sides are 8 cm, 10 cm and 14 cm is equal to

1. $36\sqrt{3}c{m}^2$
2. $20\sqrt{2}c{m}^2$
3. $16\sqrt{6}c{m}^2$
4. $8\sqrt{6}c{m}^2$

Q.

PQRS is a trapezium in which PQ = 7 cm, PS = QR = 5 cm, RS = x cm and distance between PQ and RS is 4 cm. The area of trapezium is

1. 40 cm²

2. 80 cm²

3. 20 cm²

4. 15 cm²

Q. Area of an isosceles trapezoid is 77 square inches , the height measures 4 inches and the legs are 5 inches long. find the length of the bases

Q.

The complement of 41 degrees is ____.

1. 49 degrees

2. 41 degrees

3. 131 degrees

4. 4 degrees

Q. The perimeter of a triangular field is 240 dm. If two of its sides are 78 cm and 50 dm, find the length of the perpendicular on the side of length 50 dm from the opposite vertex.

Q.

Which among the following is the perimeter of the triangle with sides a, b and c?

1. a+b-c

2. a-b+c

3. a+b+c

4. axbxc

Q. For the purpose of finding the area of the $△$DEF, identify the base ___ and the height ___ of the $△$DEF as shown.

Q.

Find the area of a right angle triangle if the sum of its two sides containing the right angle is 14 cm and the hypotenuse is 10 cm, also verify the answer using Heron formula.

Q. Areas of triangles with which given sides can be found using Heron's formula?

1. 7 cm, 6 cm, 5 cm
2. 4 cm, 4 cm, 8 cm
3. 12 cm, 18 cm, 7 cm
4. 2 cm, 3 cm, 5 cm

Q.

In the figure, ∠PQR = 90^o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is

1. 39 cm²

2. 60 cm²

3. 20 cm²

4. 30 cm²

Q.

The parallel sides of a trapezium are 12 cm and 16 cm and the perpendicular distance between them is 5 cm. Find its area

1. 700 sq. cm

2. 70 sq. cm

3. 720 sq. cm

4. 72 sq. cm

Q. Concurrent point of the altitudes of a triangle is called the ________.

1. incenter
2. orthocenter
3. circumcenter
4. centroid

Q.

Find the perimeter of a triangle with sides measuring $8\text{cm}$$,12\text{cm}$ and $13\text{cm}$

Q.

In any triangle with two equal sides, the perpendicular bisector of the unequal side is also the angular bisector of the angle opposite to the unequal side.

1. False

2. True

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. 10cm

2. 9cm

3. 12cm

4. 11cm

Q. Area of a right - angled triangle is $30c{m}^2.$ If its smallest side is 5 cm, then its hypotenuse is

1. 
   14 cm
2. 
   13 cm
3. 
   12 cm
4. 
   11

Q. The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle.

Q. The equal sides of the isosceles triangle are 12 cm, and the perimeter is 30 cm. What is the length of the remaining side?

1. 6cm
2. 8cm
3. 9cm
4. 4cm

Q. 38. What is the formula to find area of scalene triangle and solve this promble in triangle ABC and AB = 5, BC=8 and AC=4. Then area of triangle of ABC

Q. Using Heron's formula find the area of ∆ABC in which BC = 13 cm, AC = 14 cm and AB = 15 cm.

Q. . Find the percentage increase in the area of a triangle if its each side is tripled.

Q. If the angle is 30^° more than one half of its complement , find the measure of the angle