An isosceles right triangle has leg lengths of 4 centimeters. what is the length of the altitude drawn from the right angle to the hypotenuse?
2 cm
cm
4 cm
cm

See the picture attached to better understand the problem

we know that


in the right triangle ADB


where
AD is the adjacent side angle DAB (altitude)
AB is the hypotenuse triangle ADB 
Angle DAB=°
so
solve for AD



therefore

the answer is 
the length of the altitude is 

Step-by-step explanation:

refer the attached figure .

In ΔABC

∠ABC = 90°

SINCE AB = BC

So, ∠BAC=∠ACB (angles opposite to equal sides are equal

Now using angle sum property of triangle i.e. sum of all angles of triangle is 180°

⇒∠BAC+∠ACB+∠ABC =180°

⇒∠BAC+∠BAC+∠ABC =180° (∠BAC=∠ACB )

⇒2∠BAC+90° =180°

⇒2∠BAC =90°

⇒∠BAC=45°

So, ∠BAC=∠ACB=45°

Now in ΔABD

AB is hypotenuse

BD is perpendicular AD is base

Thus to find BD use trigonometric ratio

Thus the length of BD is

Hence he length of the altitude drawn from the right angle to the hypotenuse is

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Heptagon is the correct ans