Advertisements
Advertisements
Question
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
We know that, sum of angles of a triangle is 180°.
∠A + ∠B + ∠C = 180°
Here, ∠B + ∠C = 60° + 45° = 105° < 180°,
Therefore, a triangle ABC with given conditions can be constructed.
Hence, the given statement is true.
APPEARS IN
RELATED QUESTIONS
Construct a triangle PQR in which QR = 6 cm, ∠Q = 60° and PR − PQ = 2 cm
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
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.
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 AB = 5 cm, ∠A = 45° and BC + AC = 5 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:
A rhombus whose diagonals are 4 cm and 6 cm in lengths.
