Question
If 9x2 + 16y2 = 24xy, then find
the ratio of ‘x’ and ‘y’, respectively.Solution
9x2 + 16y2 = 24xy Or, 9x2 + 16y2 – 24xy = 0 Or, (3x)2 + (4y)2 – 2 × 3x × 4y = 0 [(a – b)2 = a2 + b2 – 2ab] Or, (3x – 4y)2 = 0 Or, 3x – 4y = 0 Or, 3x = 4y So, x/y = 4/3 Or, x:y = 4:3
- The base of a right pyramid is an equilateral triangle with side 12 cm. If the height of the pyramid is 40√3 cm, calculate the volume of the pyramid.
In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of an...
If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5 cm, RP = 9 cm and RQ = 6 cm.
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
- A triangle has a base of 27.3 cm and the height is 11.4 cm. Find its area.
ABC is an equilateral triangle with sides of 24cm. Find the difference between its in-radius and circum-radius.
Relevant for Exams:
