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In triangle ABC, angle A is a right angle, and measure of angle B = 45 degrees.

What is the length of BC? If the answer is not an integer, leave it in simplest radical form? The diagram is not drawn to scale?

A. 13 sqrt of 2 ft
B. 13 sqrt of 3 ft
C. 26 ft
D. 13 ft

In triangle ABC angle A is a right angle and measure of angle B 45 degrees What is the length of BC If the answer is not an integer leave it in simplest radical class=

Respuesta :

Answer:

13√2

Step-by-step explanation:

this is cuz of the 45 45 90 formula

vijayhalder031

The length of side BC is 13√2 ft.

Concept:

  • In a right-angle triangle, we can use trigonometric ratios to find the missing length.
  • [tex]sin\alpha =\frac{opposite side}{hypotenuse}[/tex]

How to solve the given question?

  • In ΔABC, ∠A = 90° and ∠B = 45°.
    ∴sin B = [tex]\frac{AC}{BC}[/tex]
    ∴ Sin 45 = [tex]\frac{13}{BC}[/tex]
    ∴ BC = 13√2

Thus, the length of side BC is 13√2 ft.

Learn more about trigonometric ratios here:

https://brainly.com/question/7331447

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