Right Angled Triangle

Q. The angles of a triangle are in the ratio 5: 3: 7. The triangle is:

1. an isosceles triangle
2. an obtuse angled triangle
3. an acute angled triangle
4. a right triangle

Q.

In a right angled triangle, the angles other than the right angle are _______ .

1. supplementary

2. acute angles

3. greater than right angles

4. obtuse angles

Q.

If two lines intersect and angle between them is right angle, then the lines are said to be perpendicular lines.

1. True
2. False

Q. Two lines are said to be __________to each other if they meet at right angles.

1. transversal
2. perpendicular
3. parallel
4. straight

Q. Angle between perpendicular lines is ${180}^{\circ }$.

1. True
2. False

Q.

Question 3 (b)

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

Q.

Question 3 (f)

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

Q. Which of the following is true for Isosceles right angled triangle?

1. One right angle
2. None of these
3. Two other equal angles always
4. Two equal sides

Q.

A triangle with the angles ${30}^{\circ }$, ${90}^{\circ }$ and ${60}^{\circ }$ can be classified under which category?

1. Isosceles triangle

2. Scalene triangle

3. Right-angled triangle

4. Equilateral triangle

Q.

If an isosceles right - angled triangle has area $200c{m}^2$, then the measure of its hypotenuse is ___ cm.

1. 10

2. $10\sqrt{2}$

3. 20

4. $20\sqrt{2}$

Q.

In the given figure, $\Delta ABC$ is right angled at B. The value of $x^{\circ }+y^{\circ }$ = ___

1. ${60}^{\circ }$

2. ${90}^{\circ }$

3. ${120}^{\circ }$

4. ${45}^{\circ }$

Q. Name the following triangle in two different ways: (You may judge the nature of angle by observation)

Q. What is the largest angle in triangle ABC?(in degrees)

1. 60
2. 80
3. 120
4. 100

Q. The triangle is right angled at $B,$ then the inradius of the triangle is:

1. $\frac{AB+BC-CA}{2}$
2. $\frac{AB+AC-BC}{2}$
3. $\frac{AB+BC+AC}{2}$
4. None of these

Q. Perpendicular lines intersect each other at right angles (90°) .

1. True
2. False

Q. Name the following triangle in two different ways.(you may judge the nature of the angle by observation)

Q.

If two lines intersect and angle between them is right angle, then the lines are said to be perpendicular lines.

1. True
2. False

Q.

A triangle can be acute-angled and isosceles.

1. True
2. False

Q. From these two angles which has larger measure? Estimate and then confirm by measuring them.