Construction an Equilateral Triangle of Given Height

Q. Draw an acute angled $△PQR$. Draw all of its altitudes. Name the point of concurrence as ${}^{\prime }{O}^{\prime }.$

Q.

Construct a triangle ABC in which BC is 8 cm, $\angle$ B is ${70}^{\circ }$ and AB - AC = 7. [4 MARKS]

Q.

Draw an equilateral triangle ABC of side 6 cm and find its incircle radius.

1. 3.4 cm

2. 4.8 cm

3. 1.7 cm

4. 2.8 cm

Q.

Construct$\Delta$PQR with QR = 6.5 cm, PQ= 5.5 cm, PR = 5 cm. Draw the incircle of $\Delta$PQR and find its radius.

1. 4.6 cm

2. 1.6 cm

3. 2.8 cm

4. 3.2 cm

Q. Steps for the construction of an equilateral triangle of height 3.2cm is given below. Choose the correct order.

1.Draw a line segment XY
2.Take any point M on XY. Draw ZM$\perp$XY
3.With M as centre and radius 3.2cm , draw an arc , cutting MZ at A.
4.Construct $\angle MAB={30}^{\circ }$and $\angle MAC={30}^{\circ }$ , with B and C on XY.

1. 1, 2, 4, 3
2. 2, 1, 3, 4
3. 1, 2, 3, 4
4. 2, 1, 4, 3

Q. All equilateral triangles are_____

1. Acute angled triangle
2. Scalene triangles
3. Isosceles triangle
4. Right angled triangles

Q. In $\Delta ABC$, altitude BE= altitude CF. Then triangle ABC is

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

Q. A triangle measuring ${60}^{\circ }$, ${64}^{\circ }$ and ${56}^{\circ }$ is a/an:

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

Q. An equilateral triangle is also a/an:

1. Right angled triangle
2. Scalene triangle
3. Obtuse angled triangle
4. Acute angled triangle

Q. A triangle with equal angles are:

1. Equilateral triangles
2. Isosceles triangle
3. Scalene triangle
4. Right angled traingle

Q. Construct an equilateral $\Delta DEF$ whose one side is $5.5$ cm. Construct an incircle to this triangle.