Math, asked by aravind8917, 1 year ago

Abcd is a parallelogram in which ab = 7 cm, bc = 9 cm and ac = 8 cm. what is the length (in cm) of other diagonal?

Answers

Answered by sakshi444457777
1
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Answered by DelcieRiveria
7

Answer:

The length of other diagonal is 14 cm.

Step-by-step explanation:

Given information: Abcd is a parallelogram in which ab = 7 cm, bc = 9 cm and ac = 8 cm.

It means two sides of parallelogram is 7 cm and 9 cm. One diagonal is 8 cm.

Formula to find the length of diagonal is

d_1=\sqrt{2a^2+2b^2-(d_2)^2}

d_1=\sqrt{2(7)^2+2(9)^2-(8)^2}

d_1=\sqrt{2(49)+2(81)-64}

d_1=\sqrt{196}

d_1=14

Therefore the length of other diagonal is 14 cm.

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