Question

Prove: For $\triangle ABC$, if $\sin^2A + \sin^2B = 5\sin^2C$, then $\sin C \leq \frac{3}{5}$.

score 296 · Answer 1 · 2026-04-16 15:57:20

296

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Prove: For $\triangle ABC$, if $\sin^2A + \sin^2B = 5\sin^2C$, then $\sin C \leq \frac{3}{5}$.

Published on 16 Apr 2026 - 15:57

score 57 · Answer 2 · 2026-04-13 03:49:05

57

Views

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428

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339

Views

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93

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score 177 · Answer 10 · 2026-04-12 06:38:32

177

Views

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score 11k · Answer 15 · 2026-05-04 08:52:37

11k

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Published on 04 May 2026 - 8:52

List Question

Prove: For $\triangle ABC$, if $\sin^2A + \sin^2B = 5\sin^2C$, then $\sin C \leq \frac{3}{5}$.

sin and cos in the triangle

Given one side and the opposite angle, how to show the area is a maximum when the triangle is isosceles?

Proving that a line is an angle bisector

For triangle $ABC$ there are median lines $AH$ and $BG$ with $\angle CAH=\angle CBG={{30}^{0}}$ . Prove that $ABC$ is the equilateral triangle.

Geometry problem from IMO Past Papers.

Prove that $2AK=BP+PC$ in isosceles triangle.

Find the length of the sides in an Isosceles triangle, given its area and perimeter?

Show that $\sin^2(x)+\sin^2(y)+\sin^2(z) \le9/4$ where $x, y, z$ are angles of a triangle

How to prove that this triangle is equilateral?

Show an altitude of triangle is angle bisector

RHS Congruency test - What makes 90 degrees different?

What is the most elegant proof of the Pythagorean theorem?

Are isosceles always and only similar to other isosceles?

Find the coordinates in an isosceles triangle

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