Question

У трикутнику АВС (∠С=90°) АС=14 см, соs∠A= 7/25. Знайдіть невідомі сторони трикутника.

Answer 1

Ответ:

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Answer 2

I can help you with your math problem. Here is the detailed solution:

The user's message is in Ukrainian and it means "Answer in detail. In triangle ABC (∠C=90°) AC=14 cm, cos∠A= 7/25. Find the unknown sides of the triangle."

We can use the Pythagorean theorem and the definition of cosine to find the unknown sides. Let AB = x and BC = y. Then we have:

$$x^2 + y^2 = 14^2$$ $$\cos A = \frac{x}{14} = \frac{7}{25}$$

Solving for x and y, we get:

$$x = 14 \cos A = 14 \cdot \frac{7}{25} = 3.92$$ $$y = \sqrt{14^2 - x^2} = \sqrt{14^2 - 3.92^2} = 13.44$$

Therefore, the unknown sides of the triangle are AB = 3.92 cm and BC = 13.44 cm.Ответь+подробно.++У+трикутнику+АВС+(∠С=90°)+АС=14+см,+соs∠A=+7/25.+Знайдіть+невідомі+сторони+трикутника.+