Construction of Triangles: Right Angle Triangle When 1 Side and Hypotenuse Are Given

Q.

In the following triangle, if CD = BE and EC = 3cm, then, BD is equal to ______cm.

1. 2

2. 3

3. 1.5

4. 2.5

Q.

Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right angled triangle?

1. ASA

2. SSS

3. RHS

4. AAS

Q.

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

1. RHS

2. AAS

3. SSS

4. ASA

Q.

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

1. SSS

2. RHS

3. AAS

4. ASA

Q. ______ triangle can be uniquely constructed by knowing two sides and any other angle.

1. Isosceles
2. Equilateral
3. Right angled
4. Scalene

Q. A right triangle DEF is constructed with DE = 5 cm, $\angle F={90}^{\circ }$ and DF = 4 cm. Choose the correct statement from the following.

1. DF is the hypotenuse of $\Delta$ DEF
2. $\angle E+\angle D={180}^{\circ }$
3. EF = 3 cm
4. $\angle E={90}^{\circ }$

Q. To draw a right angled triangle whose hypotenuse measures 5 cm and the length of one of the sides containing the right angle is 3 cm, the steps of construction are given below.

Steps of construction:
Step 1: Draw a line segment BC=5 cm
Step 2: Find the mid –point O of BC
Step 3 will be

1. Taking B as centre and radius equal to 4 cm, draw an arc, cutting the semi-circle at A.
2. Taking O as centre and radius OB, draw a semi-circle on BC.
3. Join AB and AC
4. Taking O as centre and radius equal to 3 cm , draw a semi-circle on BC

Q.

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

1. ASA

2. SSS

3. RHS

4. AAS