MathStudent1999
Junior Member
- Joined
- Mar 18, 2012
- Messages
- 76
3. The diagonals of the parallelogram measure 7 cm and 13 cm. What is the length in cm of the side of the parallelogram adjacent to the side that mesures 8 cm? Express your answer in simplest radical form.
4. The lengths of the sides of the triangle are 13cm, 17 cm, and 20 cm. What is the length in cm of the median to the longest side? Express your answer in the simplest radical form.
Using Herson Formula I managed to get the height of the triangle. Then using Heron's Fourmula again, I got the length of the median. I got: √129. Can someone verify this answer for me?
6. Circle A has a radius of 10 units and Circle B has a radius of 5 units. The center of Circle B is on the circumference of Circle A. What is the difference between the area which is within A but not B and the area which is within B but not A. Put your answer as a multiple of Pi.
8. A triangle whose verticies (0,0), (5,12) & (8,6) is seperated into two parts by a vertical line so that each part has the same area. What us the cordinates of the intersection of the deviding line and the x-axis? Express your answer in simplest radical form.
17. Define T to be a triangle with sides 3,4 & 5. Define D(T,p) to be the sum of the squares of the distances from the point p to the vertices of triangle T. What is the least value of D(,T,p)? Express your answer as a common fraction.
30. Marna baked a batch of brownies in a 9x12 pan. She then decided to created a giant ice cream sandwich by cutting two congruent circular brownies out of the pan and placing a wedge of chocolate chip ice cream between them. What is the radius of the largest circular brownies she can cut? Express you answer as a common fraction in simplest radical form
I got (15√2 - 15 / 2) for #30. Can someone verify this for me?
Please Help me on these six questions
4. The lengths of the sides of the triangle are 13cm, 17 cm, and 20 cm. What is the length in cm of the median to the longest side? Express your answer in the simplest radical form.
Using Herson Formula I managed to get the height of the triangle. Then using Heron's Fourmula again, I got the length of the median. I got: √129. Can someone verify this answer for me?
6. Circle A has a radius of 10 units and Circle B has a radius of 5 units. The center of Circle B is on the circumference of Circle A. What is the difference between the area which is within A but not B and the area which is within B but not A. Put your answer as a multiple of Pi.
8. A triangle whose verticies (0,0), (5,12) & (8,6) is seperated into two parts by a vertical line so that each part has the same area. What us the cordinates of the intersection of the deviding line and the x-axis? Express your answer in simplest radical form.
17. Define T to be a triangle with sides 3,4 & 5. Define D(T,p) to be the sum of the squares of the distances from the point p to the vertices of triangle T. What is the least value of D(,T,p)? Express your answer as a common fraction.
30. Marna baked a batch of brownies in a 9x12 pan. She then decided to created a giant ice cream sandwich by cutting two congruent circular brownies out of the pan and placing a wedge of chocolate chip ice cream between them. What is the radius of the largest circular brownies she can cut? Express you answer as a common fraction in simplest radical form
I got (15√2 - 15 / 2) for #30. Can someone verify this for me?
Please Help me on these six questions
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