A garden space is a triangle with angle measures of 45, 45, and 90. One leg of the triangle measures 15 feet. a. Explain how you will find the length of the longest side of the garden. What is the length?

b. Find the exact value of the sine of a 45 degree -angle.

c. Find the exact value of the cosine of a 45 degree -angle.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

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