Subject: Mathematics
Book: Maths Mastery
For a general triangle with sides a, b and included angle C, the area formula is (1/2)ab sin(C). If you have a=8, b=10, and C=60°, the area is 0.5 × 8 × 10 × sin(60°) = 40 × (√3/2) = 20√3. This approach bypasses perpendicular height by utilizing trigonometric ratios. Applicable in surveying or design, it ensures you can swiftly compute areas without rearranging or dropping altitudes. Mastering this technique broadens your repertoire for geometry problem-solving where direct height measures aren’t readily available.
If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionWhat is the square root of 0.25?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionIf 8x = 512, what is the value of x?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?
View QuestionWhat is the square root of 144?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View Question