In a right-angled triangle ABC, the value of sin²A + sin²B + sin²C is:
The area of △ABC, having sides a = √5, b = √3, c = √2, is:
In an equilateral triangle, if the length of each side is P, then the area of the triangle is:
If the angles of a triangle are in the ratio 1 : 2 : 3, then the corresponding sides are in the ratio:
In △ABC, if ∠ACB = 90°, AB = 30 cm and AC = 20 cm, then BC is:
If the measures of the three angles of a triangle are (3x + 15)°, (5x − 15)°, and (2x + 30)°, then what is the value of x?
Two sides of a triangle are 2√3 and 2, and the included angle is 30°. Then the angle opposite the side 2 is:
In △ABC, if ∠B = ∠C = π/4 and c = 4, then a =
If the first angle of a triangle is 3 times the second, and the second is 20° less than the third, then find the second angle.
A triangle has one side of length 20 mm and the other two angles are each 60°. Find the area of the triangle.
The area of △ABC, where a = 18, b = 24, and c = 30, is:
In any △ABC, 2R² sin A · sin B · sin C =
The area of △ABC, where a = √2, b = √3, and c = √5, is:
If the area of a triangle is 75 square meter and two of its sides are 20 and 15 meters. then the included angle is
If a triangle of base 6 units has the same area as a circle of radius 6 units, find the altitude of the triangle.
In a triangle ABC, a = 20 cm, c = 32 cm and γ = 30°. Find sin α.
