To find the lengths of the missing sides in a triangle, we can use the properties of triangles and, if needed, apply the Pythagorean theorem for right triangles, or the law of sines or cosines for other types of triangles.
Firstly, if we have a right triangle, and we know one leg and the hypotenuse, we can use the formula:
c² = a² + b²,
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
For other triangles, if we know two sides and an angle between them, we can use the law of cosines:
c² = a² + b² – 2ab * cos(C),
where C is the angle opposite side c.
If we know two angles and one side, we can use the law of sines:
(a/sin(A)) = (b/sin(B)) = (c/sin(C)).
Once the calculations are made, round the lengths of the sides to the nearest tenth as required. For instance, if you calculate a side length and get 5.678, you would round it to 5.7.
In summary, identify the type of triangle and use the appropriate formulas for your calculations to find the lengths of the missing sides.