Answer: the approximate value of e is 8.9 cm
Step-by-step explanation:
The given triangle BET is an obtuse triangle. To determine the value of e, we would apply the Cosine rule which is expressed as
a² = b² + c² - 2ab
Applying it to the given triangle, it becomes
e² = Be² + Te² - 2TE × BE Cos 108
e² = 6² + 5² - 2 × 5 × 6 Cos 108
e² = 36 + 25 - 60 × - 0.3090
e² = 61 + 18.54 = 79.54
Taking square root of the Left hand side and the right hand side of the equation, it becomes
e = √79.54
e = 8.9 approximated to the nearest tenth.
