# Find the unknown sides and angles of a right-angled triangle using the following data: if leg a = 43, angle A = 35 degrees.

August 27, 2021 | education

| sin A = a / c, where a is the leg of the triangle, a = 43; c – hypotenuse;

<A = 35 °; sin 35 ° ≈ 0.57;

c = a: sin A = 43: 0.57 ≈ 75.43;

c² = a² + b²; b² = c² – a² = 75.43² – 43² = (75.43 – 43) (75.43 + 43) = 32.43 * 118.43 ≈ 3840.68;

b = √3840.68 ≈ 62;

The sum of all the angles of the triangle is 180 °, the angle C = 90 °;

<B = 180 ° – 90 ° – 35 ° = 55 °.

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