Question

The hypotenuse of a 45° -45° -90° triangle measures 4cm. what is the length of the triangle

Answer 1

I think your question means to find out the triangle's perimeter.

perimeter = (4+4√2)cm

Explanation:

Hypotenuse side,H = 4cm

Opposite side,O = ?

Adjacent side,A = ?

Since the triangle is 45°-45°-90° triangle,

sin 45° = A/4

1/√2 = A/4

4/√2 =A

2√2 =A

A = 2√2cm

45°=45°

so O = A(because the triangle is isosceles.)

O = 2√2cm

The perimeter of triangle is 4+2√2+2√2=(4+4√2)cm.