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Determine the approximate value of e.

6.8 cm

7.3 cm

7.8 cm

8.9 cm

Determine the approximate value of e. 6.8 cm 7.3 cm 7.8 cm 8.9 cm-example-1
User Abolfoooud
by
8.2k points

1 Answer

6 votes

Answer: the approximate value of e is 8.9 cm

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.

User Jaron Thatcher
by
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