Geometry Problem 1287

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Elements: Isosceles Triangle, 40-100-40 Degrees, Congruence, Area, Metric Relations, Measurement.

In an isosceles triangle ABC, the measure of angle B is 100 degrees, AB = BC = a, and AC = b. Prove that: (1) a³ + b³ = 3a²b; (2) .
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
 

See also:
Geometry Problems
1281-1290
Visual Index
Open Problems
All Problems
Triangle
Isosceles Triangle
Triangle Area
Congruence
Angles

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