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To convert a binary number to a decimal number, you need to add the decimal values of each binary digit, starting from the rightmost digit and moving towards the left. The value of each digit is calculated as 2 raised to the power of the digit's position, starting from 0. (11011)₂ = (1 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = (27)₁₀
A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
In triangle △ ABC, the internal angle bisectors of ∠ B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the m...
The base of a pyramid is an equilateral triangle whose side is 8 cm. Is. Its (slant edge) is 24 cm. What is the total surface area (in cm²) of the pyra...
The areas of two similar triangles XYZ and LMN are 400 cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.
In triangle ABC, the lengths of its sides are given as AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' t...
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.
The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
