mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Equal side and angle

In the diagram shown, the lengths \(AD = CD\) and the angles \(ABD=CBD\).
Prove that the lengths \(AB=BC\).

Show answer

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXVIII,
puzzles about trigonometry, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

perfect numbers people maths tournaments cards functions colouring algebra elections cube numbers parabolas surds shapes quadratics square numbers indices factors speed shape polygons median regular shapes sums the only crossnumber crosswords wordplay taxicab geometry coins sequences graphs games partitions 3d shapes 2d shapes geometric means probability area star numbers determinants crossnumbers axes polynomials symmetry clocks planes circles palindromes sets quadrilaterals coordinates factorials christmas unit fractions pascal's triangle matrices ellipses rugby logic lines grids geometric mean square roots sum to infinity books dice digital clocks balancing routes irreducible numbers even numbers means perimeter proportion squares pentagons multiples consecutive numbers dates albgebra angles tiling chalkdust crossnumber odd numbers integers chocolate fractions range doubling floors arrows hexagons cryptic crossnumbers triangles digits trigonometry chess integration tangents folding tube maps crossnumber rectangles calculus sport dominos combinatorics digital products advent decahedra multiplication spheres gerrymandering differentiation products geometry complex numbers ave scales addition mean cubics bases consecutive integers prime numbers dodecagons percentages probabilty averages remainders binary numbers expansions cryptic clues time number volume money triangle numbers division menace

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024