Question

Use the the triangle.

a. Find the length of the hypotenuse using the special relationships for a 45 degree, -45 degree, -90 degree triangle. Explain the relationships.
b. Write the exact value for sin 45 degrees as a fraction in simplest form.
c. Use the formula for the area of a triangle given SAS to find the area of the triangle.
d. Use a different method to find the area of the triangle. Explain your steps.

Answer 1

for a 45 45 90 triangle if the legs are x length then the hyptonuse is x√2

a.
7=x
so hyptonuse=7√2 in

b.
sin(45°)=(√2)/2

c.
not sure what you need SAS for
but, area=1/2 times base times height
base=height=7
area=1/2 times 7 times 7=24.5 square inches

d. not sure, same as above?