in a figure AC is 1.4 CM are more than BD if the sum of the length is a diagonal is 12 cm find OB and OD
Answers
Answer:
please find the attachment.
To Find:
OB, OC, and OD= ?
Solution:
Given:
AC= 1.4+BD
AC+BD = 12
\begin{gathered}\to AC= \ 1.4+\ BD ....(i)\\\\\ \to AC\ +\ BD \ = \ 12...(ii)\\\\ \to AC= 12 - BD\end{gathered}
→AC= 1.4+ BD....(i)
→AC + BD = 12...(ii)
→AC=12−BD
put the AC value in equation (i)
\begin{gathered}\to 12 -BD = 1.4 +BD\\\\\to 12 - 1.4 = BD+BD\\\\\to 12 - 1.4 = 2BD\\\\\to 10.6 = 2BD\\\\\to BD= \frac{10.6}{2}\\\\\to BD= 5.3\\\end{gathered}
→12−BD=1.4+BD
→12−1.4=BD+BD
→12−1.4=2BD
→10.6=2BD
→BD=
2
10.6
→BD=5.3
Put the BD value in equation (ii)
\begin{gathered}\to AC +BD =12\\\\\to AC+ 5.3 =12\\\\\to AC = 6.7\end{gathered}
→AC+BD=12
→AC+5.3=12
→AC=6.7
$$\begin{gathered}\bold{OB = OD = \frac{BD}{2}\ \ \ and \ \ \ OC =\frac{AC}{2}\\\\}\end{gathered}$$
$$\begin{gathered}\to OB = OD = \frac{5.3}{2}\ \ \ and \ \ \ OC =\frac{6.7}{2}\\\\\to OB = OD = 2.65 \ \ \ and \ \ \ OC = 3.35 \\\\\end{gathered}$$
Step-by-step explanation:
the above image is ur answer