TASK 2 / PPB1 / 2011

1. The area of rhombus ABCD is 24 cm2 and the length of diagonal AC is 8 cm. What is the length of BD?
2. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
3. The area of a rhombus is 36 cm2. If the proportion of the diagonals is 1:2, what are the lengths of the diagonals?
4. Show that the area of kite KLMN is 63 cm2, if LN = 12 cm, and KM = 10,5 cm.
5. Quadrilateral PQRS is a trapezoid with the parallel sides PS and QR, PQ = SR,
∠SPQ = 120°, and ∠SRP = 20°. What is the size of ∠PSQ ?
6. One of the parallel sides of a trapezoid is twice the other. The height of the trapezoid is the average of the parallel sides. If the area of the trapezoid is 324 cm2, find the lengths of the height and parallel sides of the trapezoid.
336/Student’s
7. ABC is triangle, if A is right angle, ∠B = (8x − 1)° and ∠C = (4x + 7)°.What is the sum of ∠B and ∠C?