Advertisements
Advertisements
Question
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
We know that, a triangle can be constructed if sum of its two sides is greater than third side.
i.e., in ΔABC, AB + BC > AC
⇒ BC > AC – AB
⇒ 6 > 4, which is true, so ΔABC with given conditions can be constructed.
APPEARS IN
RELATED QUESTIONS
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 XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
An angle of 52.5° can be constructed.
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
Construct the following and give justification:
A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.
Construct the following and give justification:
A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
Construct the following and give justification:
A rhombus whose diagonals are 4 cm and 6 cm in lengths.
