Question

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?

A. x units
B. x√2 units
C. x√3 units
D. 2x units

Answer 1

The answer is B. 2 units HOPE IT HELPS

Answer 2

The length of one leg of the large right triangle in terms of x is; B. x√2 units

How to find the length of a triangle?

The smaller triangles ABD and BDC are isosceles triangles. Thus;

AD = BD = x

DC = BD = x

The hypotenuse AC is equal to;

AC = AD + DC

AC = x + x

AC = 2x

Using Pythagoras theorem;

AC² = AB² + BC²

AC² = 2AB²

AB = AC/√2

AB = 2x/√2

Rationalizing the denominator, we have;

AB = x√2

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