Question

Which of the following equations can be used to find the length of BC in the
triangle below?
B
10
А
130
c
O A. BC = 30 - 10
O B. BC = 30 + 10
O C. (BC)2 = 302 - 102
O D. (B92 = 102 + 302

Answer 1

Answer:

BC² = 10² + 30²

the answer is D

Answer 2

The length of BC can be founded by the equation (BC)² = 30² + 10².

Pythagoras Theorem:

• In a Right angle triangle, the square of the length of the hypotenuse is equal to the sum of the square of length of the other two sides.
• For eg, In a right-angle triangle ΔABC, ∠A = 90°
  then, BC² = AB² + AC²

How to solve the given question?

• In ΔABC, ∠A = 90°, so by Pythagoras theorem,
  BC² = AB² + AC²
  ∴ BC² = (30)² + (10)²

Thus, option D is the correct option.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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