### Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem7-109

7-109.

What are the area and perimeter of $ΔABC$ below? Give both exact answers and approximate (decimal) answers.

The height creates two special right triangles. What are the $45^\circ-45^\circ-90^\circ$ and $30^\circ-60^\circ-90^\circ$ triangle patterns?

The length of the hypotenuse of a $30^\circ-60^\circ-90^\circ$ triangle is twice the side opposite the 30 degree angle.  The hypotenuse of a $45^\circ-45^\circ-90^\circ$ triangle is $\sqrt{2}$ times the length of one of the legs.