Advertisements
Advertisements
प्रश्न
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Advertisements
उत्तर
Steps of construction:
Step 1: Draw a line segment XY of 10cm.
Step 2: Draw `∠`DXY =`∠`B = 90°and `∠`FYX = `∠`C = 60°
Step 3: Draw the angle bisectors of`∠` DXY and `∠`EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
∴ Δ ABC is the required triangle
APPEARS IN
संबंधित प्रश्न
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a ΔABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to ______.
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
An angle of 52.5° can be constructed.
Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
