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