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

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

Archive

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