LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
632 views
in Perimeter and Area of Plane Figures by (51.0k points)
closed by

The perimeter of a rhombus is 40 cm. If the length of one of its diagonals be 12 m, then the length of the other diagonal is 

(a) 14 cm 

(b) 15 cm 

(c) 16 cm 

(d) 12 cm

1 Answer

+1 vote
by (48.4k points)
selected by
 
Best answer

(c) 16 cm.

Each side of the rhombus = \(\frac{40\,cm}{4}\) = 10 cm

Length of the other diagonal = 2 × \(\sqrt{10^2-(\frac{12}{2})^2}\)

= 2 x \(\sqrt{100-36}\) = 2 x \(\sqrt{64}\) cm = 16 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

...