Advertisements
Advertisements
Question
If diagonal of a square is 13 cm then find its side.
Solution
Let `square`ABCD be a square.
AC = 13 cm
Let the length of the square be x cm.
In ∆ABC,
∠ABC = 90° ...(angle of square)
From Pythagoras theorem,
AC2 = AB2 + BC2
132 = x2 + x2
2x2 = 169
x2 = `169/2`
x = `sqrt(169/2)`
x = `13/sqrt(2)`
x = `13/sqrt(2)xxsqrt(2)/sqrt(2)`
x = `(13sqrt(2))/2`
x = `6.5sqrt(2)`
APPEARS IN
RELATED QUESTIONS
Diagonals of a square IJKL intersects at point M, Find the measures of ∠IMJ, ∠JIK and ∠LJK .
State with reason whether the following statement is ‘true’ or ‘false’.
Every square is a rectangle.
State with reason whether the following statement is ‘true’ or ‘false’.
Every square is a rhombus.
Find the length of diagonal of a square with side 8 cm.
A quadrilateral whose all sides, diagonals and angles are equal is a ______.
PQRS is a square. PR and SQ intersect at O. Then ∠POQ is a ______.
______ is a regular quadrilateral.
All kites are squares.
Every square is a parallelogram.
Every square is a trapezium.
