Question

4. In a rhombus of side 10 cm, one of the diagonal is 12 cm long. Find the length of the second
diagonal.
5. The hynotenuse of a right triangle is 6 m more than the twice of the shortest side. If the third​

Answer 1

Answer:

Let ABCD be the rhombus with diagonals AC and BD intersecting each other at O.

Also, diagonals of a rhombus bisect each other at right angles.

If AC = 12 cm, AO = 6 cm

Applying Pythagoras theorem in right-angled triangle AOB. We get:

AB ^2 + AO ^2 + BO ^2

BO ^2 = 10 ^2 - 6 ^2

= 100 - 36

= 64

BO ^2 = 64

BO = 8

BD = 2 into BO

= 16 cm

Hence, the length of the second diagonal is 16 cm

Step-by-step explanation:

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