Question

One side other than the hypotenuse of a right angled isosceles triangle is 4 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is

• A. 8 cm
• B. 4cm
• C. 4 cm
• D. 2cm

Answer 1

The correct option is D

2cm

By Pythagoras Theorem

${AB}^2$ + ${BC}^2$ = ${AC}^2$

AC = 4 $\sqrt{2}$

AD = 2$\sqrt{2}$