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Answer :
To find the missing parts of a right triangle, we can use trigonometric ratios and the Pythagorean theorem. The missing side lengths a and c can be found using these formulas. The angle A can be found using the inverse tangent function.
To find the missing parts of the right triangle, we can use trigonometric ratios. Given that C is 90◦, we can use the Pythagorean theorem to find the missing side lengths. Let's start by finding side a:
Using the Pythagorean theorem, we can find a:
a² + b² = c²
75.8² + 98.3² = c²
Solving for c, we get: c ≈ 123.8Now, we can find side a using side c:
c² - b² = a²
123.8² - 98.3² = a²
Solving for a, we get: a ≈ 77.4To find angle A, we can use the inverse tangent function:
A = atan(a/b)
A = atan(77.4/98.3)
Solving for A, we get: A ≈ 38.4°
Therefore, the missing parts of the triangle are approximately a = 77.4 and angle A ≈ 38.4°.
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