kyleeabbott09 kyleeabbott09
  • 03-06-2021
  • Mathematics
contestada

The following figure shows ABC with side lengths to the nearest tenth. Find BC in ABC. Round to the nearest tenth. BC=

Respuesta :

AFOKE88 AFOKE88
  • 08-06-2021

The figure of the triangle is missing, so i have attached it.

Answer:

BC = 5.4

Step-by-step explanation:

From the attached triangle image, we are given 2 angles, but we need to find the third angle before we can find BC.

We know that sun of angles in a triangle is 180°.

Thus;

∠A = 180 - (∠C + ∠B)

∠A = 180 - (24 + 130)

∠A = 26°

Now, from sine rule, we can find BC.

BC/sin A = AB/sin C

Thus;

BC = (AB sin A)/sin C

BC = (5 × sin 26)/sin 24

BC = 5.389

Approximating to the nearest tenth gives;

BC = 5.4

Ver imagen AFOKE88
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