Question
Construct a triangle whose perimeter is 6.4cm, and angles at the base are 60° & 45°.
✓
Answer
Steps of construction:
- Draw a line segment XY of 6.4cm.
- Draw $\angle\text{DXY}=60^\circ$ and $\angle\text{EYX}=45^\circ.$
- Draw the angle bisectors of $\angle\text{DXY}$ and $\angle\text{EYX}$ which intersect each other at A.
- Draw the perpendicular bisector of AX and AY which intersect XY at B and C respectively.
- Join AB and AC.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Read the bar graph shown in the figure and answer the following questions:
- What is the information given by the bar graph?
- How many tickets of Assam State Lottery were sold by the agent?
- Of which state, were the maximum number of tickets sold?
- State whether true or false.
- Of which state were the minimum numbers of tickets sold?
Draw the graph of the following linear equations in two variables:
y = 2x
y = 2x
Draw the graph of the following linear equations in two variables:
3x + 5y = 15
3x + 5y = 15
Prove that the sum of all the angles of a quadrilateral is 360°.
The following data shows the average age of men in various countries in a certain year.
Represent the above information by a bar graph.
|
Country
|
India
|
Nepal
|
China
|
Pakistan
|
U.K
|
U.S.A
|
|
Average age (in years)
|
55
|
52
|
60
|
50
|
70
|
75
|
If $a$ and $b$ are integers and $a<b, b \neq \pm 1$ then compare $\frac{a-1}{b-1}, \frac{a+1}{b+1}$.
→Prove that the line segment joining the mid-point of the hypotenuse of a right triangle to its opposite vertex is half of the hypotenuse.
P is a point on the bisector of $\angle\text{ABC}.$ If the line through P, parallel to BA meets BC at Q, prove that $\triangle\text{BPQ}$ is an isosceles triangle.
→In Fig. prove that:
If two straight lines are perpendicular to the same line, prove that they are parallel to each other.