If one diagonal of a rhombus is 15 meters long and it’s area is 157.5 square meters, find the measures of the other diagonal

The other diagonal measures 21m

Step-by-step explanation:

In this question, we are tasked with calculating the length of the second diagonal of as Rhombus given the measure of the surface area of the rhombus and the length of the other diagonal

Mathematically, for a rhombus having two diagonals and , the area of the rhombus can be calculated mathematically using the formula below;

A = 1/2 × ×

From the question, we can identify that A = 157.5 and = 15m

we input these in the formula;

157.5 = 1/2 × 15 ×

315 = 15

= 315/15

= 21m

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8