Question
Find the area of an equilateral triangle, each of whose
sides measures 12 cm.Solution
Area of an equilateral triangle where the side is a. Area =√3/4 ×a2 For an equilateral triangle with each side measuring 12 cm: A = √3/ 4 × 144 A = 36√3 cm²
The sum of two numbers is 45 and their difference is 9. What is the larger number?
If a3 + b3 = 6240 and a + b = 30, then find the value of {(a + b)2 – 3ab}
- If (r + s) = 7 and rs = 15, then find the value of (r² + s²).
 If f(x) = 3x² − 7x + 5, find f(2a) − 4f(a).
If, ( a + b = 20 ) and ( a² + b² = 208 ), then find the value of (a³ + b³).
If x2 – 8√2x + 1 = 0, then what is the value of x3 + 1/x3.
- 12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’. Find the value of (A + B):(A – B).
If (5x - 2y) = 170 and 4x:3y = 32:9, then find the value of (3x² + y²).
Solve for x:
(2x − 1)/3 − (x − 4)/2 = 3
If (8x - 3y) = 196 and 7x:4y = 35:16, then find the value of (x² + 4y²).