mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Puzzles
Guess the diagonal
Source:
My Best Mathematical and Logic Puzzles
by Martin Gardner
Calculate the length of the diagonal CG.
Show answer & extension
Hide answer & extension
CG is equal to AF as they are both diagonals in a rectangle.
AF is a radius of the triangle, so AF = 10.
Therefore CG = 10.
Extension
Calculate the lengths of CI and CJ.
Calculate the lengths of HG.
Tags:
geometry
,
2d shapes
If you enjoyed this puzzle, check out
Sunday Afternoon Maths II
,
puzzles about
2d shapes
, or
a random puzzle
.
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
square grids
elections
median
books
square roots
prime factors
games
multiplaction squares
products
probabilty
lines
lists
combinatorics
number
surds
consecutive integers
mean
digits
multiples
multiplication
parabolas
chocolate
arrows
square numbers
neighbours
money
odd numbers
medians
factorials
geometry
time
3d shapes
determinants
axes
tiling
doubling
matrices
scales
palindromes
regular shapes
rugby
grids
pascal's triangle
the only crossnumber
speed
prime numbers
graphs
polygons
shape
proportion
gerrymandering
pentagons
sum to infinity
tournaments
menace
dates
fractions
polynomials
expansions
cryptic crossnumbers
sums
integers
remainders
shapes
even numbers
consecutive numbers
floors
sets
taxicab geometry
unit fractions
partitions
cryptic clues
perimeter
division
christmas
perfect numbers
wordplay
hexagons
advent
star numbers
coordinates
triangle numbers
quadratics
digital products
routes
rectangles
xor
indices
binary
coins
geometric means
dice
chalkdust crossnumber
ellipses
albgebra
dodecagons
complex numbers
integration
powers
range
bases
averages
differentiation
ave
irreducible numbers
addition
sport
volume
functions
trigonometry
angles
quadrilaterals
crosswords
2d shapes
probability
triangles
cube numbers
means
numbers
chess
algebra
sequences
percentages
crossnumbers
circles
cubics
geometric mean
squares
spheres
factors
decahedra
planes
area
people maths
clocks
balancing
cards
digital clocks
dominos
colouring
tangents
calculus
logic
symmetry
folding tube maps
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
digital products
scales
pentagons
coins
sequences
bases
multiplaction squares
consecutive numbers
products
axes
square roots
squares
triangle numbers
combinatorics
logic
integration
cards
hexagons
geometry
balancing
integers
polygons
probabilty
palindromes
triangles
differentiation
books
perimeter
probability
arrows
cryptic clues
number
fractions
square grids
lists
partitions
medians
expansions
spheres
taxicab geometry
chocolate
chalkdust crossnumber
time
doubling
proportion
sums
volume
range
complex numbers
mean
digital clocks
albgebra
addition
2d shapes
angles
neighbours
elections
even numbers
prime factors
ave
functions
perfect numbers
3d shapes
christmas
factors
speed
lines
the only crossnumber
powers
consecutive integers
coordinates
shape
dates
rugby
trigonometry
digits
chess
square numbers
gerrymandering
polynomials
tangents
tournaments
multiplication
routes
grids
clocks
division
matrices
cryptic crossnumbers
colouring
sets
quadrilaterals
wordplay
area
dominos
folding tube maps
geometric mean
advent
numbers
averages
pascal's triangle
surds
rectangles
tiling
multiples
geometric means
xor
crosswords
shapes
factorials
games
sum to infinity
parabolas
symmetry
indices
binary
decahedra
percentages
quadratics
calculus
star numbers
median
money
planes
floors
circles
determinants
ellipses
dodecagons
sport
regular shapes
unit fractions
dice
algebra
means
prime numbers
cubics
people maths
odd numbers
cube numbers
crossnumbers
menace
irreducible numbers
graphs
remainders
© Matthew Scroggs 2012–2026