1. Q: What is the hypotenuse of a right triangle with a perimeter of 27 and an area of 58?
2. Q: Given the diagram, find the area of quad. ABED.
3. Q: Given the diagram and the area of triangle ADE as 10, find EB.
4. Q: What is the perimeter of a triangle with a hypotenuse of 12 and an area of 50?
5. Q: Given the diagram, what is the area of triangle AED?
Period 3:
1. Q: Given a regular hexagon with perimeter a, write a formula for the area of the hexagon in terms of a.
A: square root(3)a^(2)/24
2. Q: Use the above formula to find the area of a regular hexagon with a perimeter of 60. Round to the nearest hundredth.
A: 259.81
3. Q: Given a 30 - 60 - 90 triangle with the longer leg as x, write a formula for the length of the hypotenuse in terms of x.
A: 2x(square root(3)/3
4. Q: Use the above formula to find the hypotenuse of a 30 - 60 - 90 triangle with the longer leg having a length of 6.
A: 4(square root(3))
5. Q: Use the formula A=1/2 ab(sin (less than) C) [note: “(less than) C” denotes angle C] to solve this problem: Find the area of a regular hexagon inscribed in a circle with a diameter of 10. Round to the nearest hundredth.
A: 64.95
Period 4
1. Q: Find the perimeter of right triangle given that the area of the triangle is 24 and the altitude to the hypotenuse is 6.
2. Q: ABCD is a square with sides of 6. Find the inradius of triangle ADC given that AC and BD are diagonals.
3. Q: Find the area of a regular 20-sided polygon inscribed in a circle with a diameter of 50.
4. Q: Find the area of triangle ADE
5. Q: In the diagram, Q is the midpoint of PR and TR is extended to point S so that TR:RS=9:4. Use Theorem of Menelaus to find PV:VT.
Period 5click here