Question

a table coaster in the shape of a rhombus have diagonals of length 10cm and 24cm.find the length of the coaster.​

Answer 1

Answer:

perimeter of table = 52cm

area of table =120cm^2

Step-by-step explanation:

$\huge{\boxed{\sf{SOLUTION-}}}$

□D1=10CM✔✔

□D2=24CM✔✔

$area \: of \: rhombus = \frac{1}{2} \times d1 \times d2 \\ = \frac{1}{2 } \times 10 \times 24 \\ = 120 {cm}^{2} \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {h}^{2} = {12}^{2} + {5}^{2} \\ {h}^{2} = 144 + 25 \\ h = \sqrt{169} \\ h = 13 \\ side \: of \: rhombus = 13cm \\ perimeter \: of \: rhombus = 4 \times a \\ = 4 \times 13 \\ = 52cm$