Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

The length of the shorter diagonal of a rhombus is 10 centimeters. Determine the length of the longer diagonal, to the nearest centimeter, if the perimeter

of the rhombus is 52 centimeters.

Length of the longer diagonal

cm

Sagot :

abidemiokin

Answer:

24cm

Step-by-step explanation:

Perimeter of a rhombus = 4a

a is the side of the rhombus

52 = 4a

a = 52/4

a = 13cm

If the length of the shorter diagonal of a rhombus is 10 centimeters, then the  length of the other diagonal is expressed as;

L = 2 * √a²-(s/2)²

s is the length of the shorter diagonal

Given

a = 13cm and s = 10cm, substitute

L = 2 * √13²-(10/2)²

L = 2*√169-5²

L = 2*√169-25

L = 2*√144

L = 2*12

L = 24cm

Hence the length of the longer diagonal is 24cm

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.