The Inradius of a Right Triangle
A circle of radius r is inscribed in a triangle with a right angle at C. Prove that r = (a + b − c)/2.
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Prove That questions: your turn
The video solved six proofs. Now try them yourself. Each proof is split into small steps. If you get stuck, the hints ask you a question that points the way. They never just show you the answer.
Homework from the video
Your Turn: sec θ + tan θ = p
The homework proof from the "Prove That" video: if sec θ + tan θ = p, prove that sin θ = (p² − 1)/(p² + 1).
Try the homework proofThree more proofs like the ones in the video
Two Crossing Lines Inside a Triangle
In triangle ABC, DE is parallel to BC. BE and CD meet at O. Prove that OD × OB = OE × OC.
Try this proofx² − y² Without Finding θ
If x = a sec θ + b tan θ and y = a tan θ + b sec θ, prove that x² − y² = a² − b².
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Young Math Brains has lessons, practice and board-style tests for all 14 chapters of CBSE Class 10 Maths, and every answer is checked. You can start free with Pair of Linear Equations.