What will be the side of a rhombus whose diagonals are 16 cm and 12 cm long 1 point 15 cm 18 cm 20 cm 10 cm?

Question 6 Understanding Shapes Special Types Quadrilaterals Exercise 17.2

Answer:

We know in rhombus diagonals bisect each other at right angle.

In ΔAOB

AO = 12/2 = 6cm, BO = 16/2 = 8cm

Using Pythagoras theorem in ΔAOB

AB2 = AO2 + BO2

AB2 = 62+ 82

AB2 = 36 + 64

AB2 = 100

AB =√100 = 10cm

∴Each side of a rhombus is 10cm.

Video transcript

"Hello kids, welcome to little homework. And here is a question related to Rhombus. The question is if the diagonals of a rhombus Arch, well centimeter and 16 centimeter find the length of each side here. ABCD is a rhombus. Well a see IMDb artifacts before we start this be hard to understand a very important property of rhombus that is in a rhombus diagonals are perpendicular and bisect each other. It's a given question. We have a diagonal length as a 12 centimeter and 16 centimeter suppose. The whole length is this diagonal length is 12 centimeter. Then each one will be six centimeter. This will be six centimeter. This will be 6 centimeter similarly. If we'll take another diagonal that is a DB as 16 centimeter. Then Dio will be eight centimeter and OB will be 8 centimeter since diagonal bisects here so we can write this here. AC Is equal to 12 centimeter DB is equal to 16 centimeters, then from here. We can say that a you is a half of a sea. This diagonal bisects oao become half of AC so which will be equal to half of 12 centimeter, which is equal to 6 centimeter. Similarly OB or Bo will be equal to half of TB. This Bo is a half of tea. So this would be equal to Half of 15 which is equal to 8 centimeter. Now, we also know that rhombus diagonals are perpendicular meals here. This is a 90 degree so we can apply Pythagorean theorem here. So Entry angle aob We will apply Pythagorean theorem then a b square will be equal to a0 square + OB Square. EB Square will be equal to Mu value record is 6 so 6 square + OB value. We got this 8 it will be 8 square. A b square Is equal to 36 plus 64? So from here A b square 400 We'll be square root of which will be equal to. I hope you have understood how we have done this problem problem by applying a property here and have applied the properties of rhombus. We have used a Pythagoras Theorem to get this answer. If you have any question, leave a comment below and subscribe to this channel for more videos. Thank you so much for watching."

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