Sasha says that she drew an acute Isis triangle with side links of 6 cm 9 cm and 12 cm and angles of 30° 50° and 100° Danielle says that’s not possible explain using sides and angles who is correct

1 answer

Danielle is correct.

In a triangle, the sum of the angles must always be 180°. However, in this case, the sum of the angles given by Sasha (30° + 50° + 100°) equals 180°, so that part is correct.

But when it comes to the side lengths, the longest side in a triangle must always be shorter than the sum of the other two sides. In this case, the longest side is 12 cm, while the sum of the other two sides (6 cm + 9 cm) is 15 cm. Since 12 cm is not less than 15 cm, it is not possible to have a triangle with these given side lengths.