Question

In the given figure ABCD in which BC= 25 cm and AO= 24 cm Find the sum of the length of the diagonal

Answer 1

hey i think the answer to ur question is 49 coz, 24+25=49    i think

Answer 2

Corrected question:

Figure ABCD is a rhombus in which the diagonals intersect at O. BC= 25 cm and AO= 24 cm Find the sum of the length of the diagonal

ABCD is a rhombus

⇒ All lengths are equal

⇒ All lengths are 25 cm

⇒ The diagonals intersect at a right angle, therefore half of the diagonals and one side make a right angle triangle.

Find Diagonal AC:

Given that AO = 24 cm

AC = AO x 2

AC = 24 x 2 = 48 cm

Find half of the diagonal BO:

a² + b² = c²

24² + b² = 25²

b² = 25² - 24²

b² = 49

b = √49

b = 7 cm

FInd BD:

BD = 2 x BO

BD = 2 x 7 = 14 cm

Find the sum of the diagonals:

Sum = 48 + 14 = 62 cm

Answer: The sum of the diagonals is 62 cm