Construction of Isosceles Triangle Whose Base and Corresponding Altitude Are Given

Q.

The side of right angle triangle containing right angle is 5x and (3x-1 ) cm. Calculate the length of the hypotenuse of the triangle if it's area is 60cm square.

Q. An isosceles right triangle has area 8 cm. Whats the length of its hypotenuse?

Q.

The diagonal of a rectangle is 65 centimetres long and one of its sides is 63 centimeres long. What is the length of the other side?

Q.

The value of x in the following triangle is:

1. 2 cm

2. 6 cm

3. 5 cm

4. 8 cm

Q. The base and altitude of an isosceles triangle PQR is given by 8cm and 12cm.Then the length of one of the equal side is equal to:

1. 12cm
2. 10cm
3. 8cm
4. 6cm

Q.

What is the length of the hypotenuse of a right angled triangle whose other two sides are of length 8 units and 15 units?

1. 12 units

2. 18 units

3. 17 units

4. 19 units

Q. Find the length of a diagonal of a rectangle whose sides are 12 cm and 5 cm.

Q. Construction of a triangle when two sides and altitude from the other side is given below.

length of CM is equal to:

1. 4cm
2. 6cm
3. 7cm
4. 5.5cm

Q. The diagnols of rhombus are 8cm and 15cm. What are the sides of the rhombus

Q. An isosceles triangle can be constructed if only the base and the altitude of the triangle is given.

1. False
2. True

Q. Construction of an isosceles triangle of which two sides are 13cm and altitude from the other side is given as 12cm, is given below.
Then perimeter of triangle ABC is equal to:

1. 42cm
2. 37cm
3. 36cm
4. 31cm

Q. A /An triangle can be constructed, if base and corresponding altitude are given.

1. Isosceles
2. Scalene
3. Obtuse

Q. A ___ bisector divides the line segment into two equal halves and the angles thus formed are both right angles.

1. perpendicular
2. non-perpendicular
3. parallel
4. non-parallel

Q.

5 cm, 12 cm and 13 cm can be sides of a right-angled triangle. True/False?

1. True

2. False

Q. Mark (✓) against the correct answer:
The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. The breadth of the rectangle is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 9 cm

Q. If there is a triangle and and its base is 40 and height is 10 . On the other hand there is trapezium of height 10 and base is 10 and the top side is 30. Base of trapezium is parallel to its top. Find the area of both and check whether the area is same or not if same then tell the reason why their area is same?

Q. Any point on the perpendicular bisector is equidistant from the end points of the segment.

1. True
2. False

Q. How to find the altitude of a right angled triangle , equilateral triangle, isosceles triangle, and scalene triangle ??

Q. Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

Q. Mark (✓) against the correct answer:
The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. The breadth of the rectangle is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 9 cm

Q. We get the mirror image by using a perpendicular bisector.

1. True
2. False

Q. A triangle with only two equal sides:

1. Equilateral traingle
2. Obtuse angled traingle
3. Isosceles traingle
4. right angled traingle

Q.

In an isosceles $\Delta$ABC, $\angle$A is 30${}^{\circ }$. The sides AB and AC are equal. Using constructions, find which side of $\Delta$ABC is the shortest.

1. BC

2. AC

3. Data Insufficient

4. AB