Advertisements
Advertisements
Question
Using ruler and a pair compass only, construct a triangle XYZ given YZ = 7 cm, ∠XYZ = 60° and ∠XZY = 45°. Draw the bisectors of angles X and Y.
Solution
Steps of Construction:
(1) Draw a line YZ = 7 cm.
(2) Y as a centre draw an ∠XYZ = 60°.
(3) Z as a centre draw an ∠XZY = 45°.
(4) From X and Y as centre draw bisector of ∠X and ∠Y, which meet at point O.
APPEARS IN
RELATED QUESTIONS
Construct traingle ABC, when : AB = 6 cm, BC = 8 cm and AC = 4 cm.
Construct traingle ABC, when : AB = BC = CA = 4.5 cm. Measure all the angles of the triangle. Are they equal?
One of the angles of a triangle is 110°, the two other angles are equal. Find their value.
The angles of a triangle are (2x – 30°),(3x – 40°) and ( x + 10°) Find the value of x .
Construct a triangle PQR, given PQ = 6 cm, ∠P = 60° and ∠Q = 30°. Measure angle R and the length of PR.
Observe the figure below and write the type of the triangle based on its sides.
Δ DEF is ... triangle
Name the type of following triangle :
ΔXYZ with m∠Y = 90° and XY = YZ.
Try to construct triangles using match sticks. Some are shown here.
![]() |
![]() |
![]() |
Can you make a triangle with 3 matchsticks?
(Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it.
Try to construct triangles using match sticks. Some are shown here.
![]() |
![]() |
![]() |
Can you make a triangle with 4 matchsticks?
(Remember you have to use all the available matchsticks in each case) Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it.
Name polygon.
Make two more examples of this.