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the lengths of the diagonals of a rhombus are 18 cm and 24 cm. find the perimeter and the height of the rhombus. (hint: for the height, use the area of the rhombus as half the product of the diagonals.)

find perimeter and height

Hello from MrBillDoesMath!

Perimeter = 60

Height =  18/5

Discussion:

The diagonals of a rhombus  bisect each other at right angles. So a rhombus can be viewed as the union of 4 congruent right triangles, each with legs (1/2)*18 = 9 and (1/2) *24 = 12. See attachment. This gives a hypotenuse length of 15 so the Perimeter = 4 *c = 60.

The height ( = altitude) of a rhombus is

            = area                    / length of base

            = (1/2)  ( (18) * 24) /c

            = (1/2) ( 18 * 24) / 60

            = 18/5

Thank you,

MrB

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.