Question

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side. The length of the altitude is x. The other 2 sides are congruent.
If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of x?

x units
xStartRoot 2 EndRoot units
xStartRoot 2 EndRoot units
2x units

Answer 1

Answer:

x divides by root(2)

Or

x times root(2) divided by 2

Step-by-step explanation:

The legs of the large right angle triangle:

xcos(45) = x/sqrt(2)

Or xsqrt(2)/2 units