Question

Find the indicated angle or side. Give an exact answer.
Find the exact length of side a.

A. 1
B. √61
C. √73
D. √13

Answer 1

Answer:

√13

Step-by-step explanation:

To get the side a, we will use the cosine rule as shown;

a² = b²+c²-2bcCosθ

Substitute the given values

a² = 5²+(3√2)²-2(5)(3√2)Cos45

a² = 25+18-30√2*1/√2

a² = 25+18-30

a² = 13

a = √13

Hence the value of a is √13