📐 geometry

1. **State the problem:** We have a triangle with two sides of lengths 2 and 17. We want to find the smallest possible whole number length for the third side. 2. **Recall the trian

1. **State the problem:** We have a triangle with two sides of lengths 4.6 and 8.3, and we want to find the possible lengths of the third side $x$. 2. **Formula and rule:** The tri

1. **Problem statement:** We have a triangle with two sides of lengths 15 and 7. We want to find the smallest possible whole-number length for the third side. 2. **Formula and rule

1. **State the problem:** We need to determine if a triangle can have sides of lengths 6.2, 10.8, and 15.8. 2. **Recall the triangle inequality theorem:** For any triangle with sid

1. **Problem statement:** We have a triangle with two sides of lengths 9 and 14, and we want to find the possible lengths of the third side $x$. 2. **Formula and rule:** The triang

1. **Problem statement:** We have a triangle with two sides of lengths 17 and 4. We want to find the largest possible whole-number length for the third side. 2. **Triangle inequali

1. **State the problem:** Determine if the lengths 2.3, 1.5, and 3.4 can form a triangle. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$, $b$, and $

1. The problem asks if a triangle can have sides of lengths 17.5, 18.8, and 5.7. 2. To determine this, we use the Triangle Inequality Theorem, which states that for any triangle wi

1. **Problem statement:** We have a triangle with two sides of lengths 6 and 1. We want to find the smallest possible whole-number length for the third side. 2. **Formula and rule:

1. **State the problem:** Determine if a triangle can be formed with side lengths 14.4, 11.9, and 4.8. 2. **Formula and rule:** For any triangle with sides $a$, $b$, and $c$, the t

1. **Problem statement:** We have a triangle with two sides of lengths 17 and 19. We want to find the largest possible whole-number length for the third side. 2. **Formula and rule

1. The problem asks if a triangle can have sides of lengths 0.8, 6.9, and 7.7. 2. To determine this, we use the Triangle Inequality Theorem, which states that for any triangle with

1. The problem asks if a triangle can have sides of lengths 3, 7, and 9. 2. To determine this, we use the Triangle Inequality Theorem, which states that for any triangle with sides

1. The problem asks if a triangle can have side lengths 1, 2, and 3. 2. To determine this, we use the Triangle Inequality Theorem, which states that for any triangle with sides $a$

1. **State the problem:** We need to determine if the lengths 0.2, 6.3, and 6.5 can form a triangle. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$,

1. The problem asks if a triangle can have sides of lengths 1, 9, and 9. 2. To determine this, we use the triangle inequality theorem, which states that for any triangle with sides

1. **State the problem:** Determine if a triangle can have side lengths 3, 7, and 10. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$, $b$, and $c$,

1. **State the problem:** We are given a triangle \(\triangle STV\) with a midsegment \(RU\). The length of side \(ST\) is \(z\), and the length of the midsegment \(RU\) is \(z - 1

1. **State the problem:** We are given triangle $QSU$ with $RT$ as the midsegment connecting the midpoints of sides $QU$ and $US$. We know $QU = w + 49$ and $RT = w + 17$. We need

1. **State the problem:** We are given a triangle WUY with points V and X as midpoints of segments UW and WY respectively.

1. **State the problem:** We are given a triangle \(\triangle STV\) with \(UW\) as the midsegment parallel to side \(ST\). The lengths are given as \(ST = p - 64\) and \(UW = p - 8