Attempt following question by selecting a choice to answer.
D
What are the values of
x and
y in the triangle?
DD DDA.
D√160 units and √41 units
B.
D24 units and 45 units
C.
D4 units and 15 units
D.
D2√5 units and 45 units
D
A
Step 1: ΔBDC is a right triangle.
Step 2: BC2 = BD2 + CD2[Apply Pythagorean theorem.]
Step 3: x2 = 122 + 42[Substitute BC, BD and CD.]
Step 4: x2 = 144 + 16 = 160[Evaluate powers and simplify.]
Step 5: x = √160[Take square root both sides.]
Step 6: ΔADC is a right triangle.
Step 7: AC2 = AD2 + CD2[Apply Pythagorean theorem.]
Step 8: y2 = 52 + 42[Substitute AC, AD and CD.]
Step 9: y2 = 25 + 16 = 41[Evaluate powers and simplify.]
Step 10: y = √41[Take square root both sides.]
Step 11: x = √160 units and y = √41 units.