Advertisements
Advertisements
प्रश्न
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
उत्तर
Given, in ΔABC, BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
To construct the triangle ABC use the following steps:
- Draw the base BC = 5 cm.
- At the point B make an ∠XBC = 60°.
- Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.
- Join DC.
- Make an ∠DCY = ∠BDC.
- Let CY intersect BX at A.
Then, ΔABC 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 right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 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 triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
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:
A rhombus whose diagonals are 4 cm and 6 cm in lengths.