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
wordplay
lines
shape
cryptic crossnumbers
prime factors
range
dice
geometry
coordinates
logic
quadratics
squares
circles
polygons
tangents
perimeter
prime numbers
averages
combinatorics
floors
expansions
folding tube maps
multiplaction squares
polynomials
numbers
integers
money
quadrilaterals
graphs
differentiation
geometric mean
tournaments
triangle numbers
unit fractions
taxicab geometry
chocolate
doubling
powers
advent
arrows
binary
products
cubics
lists
clocks
pascal's triangle
determinants
rectangles
surds
integration
regular shapes
medians
chalkdust crossnumber
remainders
pentagons
ellipses
shapes
digital clocks
cube numbers
square numbers
median
balancing
division
number
cards
multiplication
cryptic clues
probability
books
star numbers
people maths
elections
matrices
angles
bases
sums
albgebra
odd numbers
scales
menace
2d shapes
the only crossnumber
square grids
complex numbers
routes
tiling
crosswords
mean
algebra
trigonometry
parabolas
ave
percentages
dates
digital products
perfect numbers
calculus
dodecagons
sets
colouring
area
grids
speed
consecutive numbers
time
triangles
sport
volume
coins
square roots
games
sum to infinity
probabilty
sequences
palindromes
even numbers
digits
xor
decahedra
axes
neighbours
irreducible numbers
symmetry
christmas
addition
geometric means
proportion
hexagons
gerrymandering
crossnumbers
multiples
fractions
chess
3d shapes
dominos
factorials
functions
rugby
consecutive integers
means
partitions
planes
factors
spheres
indices
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
multiplaction squares
star numbers
cube numbers
doubling
hexagons
3d shapes
sport
multiples
probabilty
calculus
dominos
rectangles
grids
the only crossnumber
matrices
pentagons
crossnumbers
numbers
addition
colouring
logic
geometry
angles
geometric means
chocolate
square grids
axes
products
irreducible numbers
tangents
bases
pascal's triangle
integers
ave
partitions
coins
books
quadratics
albgebra
chess
speed
arrows
gerrymandering
expansions
triangles
scales
cryptic clues
consecutive integers
spheres
median
division
decahedra
lists
folding tube maps
even numbers
digital products
people maths
rugby
medians
dates
determinants
christmas
integration
probability
averages
crosswords
money
tournaments
perimeter
triangle numbers
neighbours
indices
cubics
factors
mean
parabolas
quadrilaterals
multiplication
chalkdust crossnumber
percentages
planes
functions
xor
symmetry
elections
powers
graphs
sums
polynomials
odd numbers
consecutive numbers
range
unit fractions
factorials
complex numbers
square roots
lines
volume
remainders
differentiation
geometric mean
sum to infinity
means
ellipses
prime numbers
polygons
palindromes
number
balancing
squares
games
regular shapes
routes
proportion
dice
area
cards
dodecagons
surds
sets
2d shapes
time
combinatorics
advent
algebra
tiling
coordinates
sequences
menace
cryptic crossnumbers
prime factors
taxicab geometry
perfect numbers
circles
wordplay
fractions
digits
shape
digital clocks
shapes
floors
binary
square numbers
clocks
trigonometry
© Matthew Scroggs 2012–2026