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The sum of squared deviations is minimized when the deviations are calculated from the sample mean. This is a well-known property in statistics: the mean minimizes the sum of squared deviations.
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...A right-angled triangle has an area of 120 m², and the ratio of its base to height is 5:3. The side length of an equilateral tri...
The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
Determine the area of the triangle whose vertices lie on the co-ordinates (2, 4), (4, 2), (-2, -5)
In a triangle ABC, the incenter is at O. Find angle BAC if angle BOC=120°.
Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.
A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
In a ∆ABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
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...
