asked 18.4k views
4 votes
I NEEEDDDD HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZ

The shorter diagonal of a rhombus measures 18cm. The side of the rhombus measures 41cm. Find the length of the longer diagonal.

asked
User Sealla
by
8.9k points

1 Answer

4 votes

Answer:

80 cm

Explanation:

The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

I NEEEDDDD HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZ The shorter diagonal of a rhombus measures-example-1
answered
User Jon Nicholson
by
8.3k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.