ABCD is a parallelogram in which the length of one of its diagonal AC is 16cm and side
AB is 10cm. What is the length of the other diagonal BD?
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Answer:
diagonals of a parallelogram are congruent
therefore diagonal BD = 16 cm
Step-by-step explanation:
AB²+BC²= AC²
10²+BC²=16²
BC²=16²-10² = 256-100
156
BC=root 156
BD²=BC²+DC²
= (root 156)+10² ....(opposite sides of parallelogram are equal)
BD²=156+100
=256
BD= root 256= 16
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