Use this triangle.
a. find the length of the hypotenuse using the special relationships for a 45 –45 –90 triangle. explain the relationships.
b. write the exact value for sin 45 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. explain your steps.
d. use a different method to find the area of the triangle. explain your steps.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents