0 votes
40.1k views
in Parallelograms by (47.3k points)

The length of the diagonals of a rhombus are 16cm and 12cm. The length of each side of the rhombus is

(a) 8 cm (b) 9 cm (c) 10 cm (d) 12 cm

1 Answer

+1 vote
by (60.1k points)
selected by
 
Best answer

(c) 10 cm

Explanation:

Let ABCD be rhombus with AC and BD diagonals.

Let AC and BD bisect at O.

Therefore AO = 16/2=8

BO = 12/2=6cm

In right angled triangle AOB, by Pythagoras theorem we can write as

AB2=AO2+OB2

AB2=82+62

AB2= 64 + 36

AB= √ 100

AB =10

Length of rhombus is 10 cm

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...