You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Circumcircle

Construct a t...

Question

Construct a triangle $A B C$ , having given $A B = 5.2$ cm and $B C = 4.8$ cm and $∠ B = 60^{0}$ . Draw the perpendicular bisectors of the sides $B C$ and $C A .$ If these bisectors meet at $O;$ then find the lengths of $O A$ and $O B$ each (in cm.).

Open in App

Solution

Draw $A B = 5.2 c m$ and at B draw an angle of $60 °$
Cut an arc of $4.8 c m$ from B to get point C
Join $A, B, C$ to get $△ A B C$
Draw perpendicular bisectors of $A C$ and $B C$
Measure $O A$ and $O B$

Suggest Corrections

Similar questions

Q. Construct a triangle

A B C

having given

B C = 75

cm,

∠ B = 60^{0}

and

∠ C = 45^{0} .

Draw the bisectors of

∠ B

and

∠ C .

If these bisectors meet at

I

, find the measure of

∠ B I C

Triangle ABC is constructed with AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Two perpendicular bisectors are drawn of side AB and BC intersecting at point O. The length of OA is:

Q. Triangle ABC is constructed with AB = 4 cm, ∠CAB =

45^{0}

and BC = 2.92 cm. Two perpendicular bisectors are drawn of side AB and BC intersecting at point O. The length of OA is:

Q. Using ruler and compasses only, construct a triangle

A B C

, having

A B = 47

cm,

A C = 34

cm and

∠ B A C = 75^{0}

. Draw the perpendicular bisector of

B C

and the bisector of

∠ B A C

. If the perpendicular bisector and the angle bisector meet at

I

, measure

∠ B I C

(in deg.)

Construct a triangle ABC, in which $A B C = 75^{o}$ ,AB=5 cm and BC=6.4 cm. Draw perpendicular bisector of side BC and also the bisector of Angle ACB.If these bisectors intersect each other at point P;prove that P is equidistant from B and C; and also from AC and BC.

Join BYJU'S Learning Program

Construct a triangle ABC, having given AB=5.2 cm and BC=4.8 cm and ∠B=600. Draw the perpendicular bisectors of the sides BC and CA. If these bisectors meet at O; then find the lengths of OA and OB each (in cm.).

Draw AB=5.2cm and at B draw an angle of 60°Cut an arc of 4.8cmfrom B to get point CJoin A,B,C to get △ABCDraw perpendicular bisectors of AC and BCMeasure OA and OB

Construct a triangle $A B C$ , having given $A B = 5.2$ cm and $B C = 4.8$ cm and $∠ B = 60^{0}$ . Draw the perpendicular bisectors of the sides $B C$ and $C A .$ If these bisectors meet at $O;$ then find the lengths of $O A$ and $O B$ each (in cm.).

Draw $A B = 5.2 c m$ and at B draw an angle of $60 °$
Cut an arc of $4.8 c m$ from B to get point C
Join $A, B, C$ to get $△ A B C$
Draw perpendicular bisectors of $A C$ and $B C$
Measure $O A$ and $O B$