Question

find the diagonal of a square of side 10 cm and find length of seg AB and seg BC (A),=30,B=90, AC=12cm​

Answer 1

Step-by-step explanation:

Square has all sides equal.

Diagonal will divide the square in two triangles having sides, 10cm, 10cm and a hypotenuse

By Pythagoras Thm,

${hypo}^{2} = {side1}^{2} + {side2}^{2}$

${hypo}^{2} = {10}^{2} + {10}^{2}$

${hypo}^{2} = 100 + 100$

${hypo}^{2} = 200$

$hypo \: = \sqrt{200}$

$hypo \: = \sqrt{100 \times 2}$

$hypo \: = 10 \sqrt{2} cm$