Question

Find the area of a quadrilateral ABCD in which AB=8cm,BC= 6cm, CD=8cm,DA= 10cm and AC=10cm.​

Answer 1

$\textbf{Given:}$

$\text{In quardilateral ABCD,}$

$\text{AB=8 cm, BC=6 cm, CD=8 cm, AD=10 cm and AC= 10 cm}$

$\textbf{To find:}$

$\text{Area of quadrilateral ABCD}$

$\textbf{Solution:}$

$\textbf{Area of triangle ABC:}$

$\text{AB= 8 cm, BC= 6 cm and AC=10 cm}$

$\text{Here,}\;AB^2+BC^2=AC^2$

$\implies\,\triangle\,ABC\;\text{right angled triangle}$

$\text{Area of triangle ABC=}\dfrac{1}{2}{\times}b{\times}h$

$\text{Area of triangle ABC=}\dfrac{1}{2}{\times}8{\times}6$

$\text{Area of triangle ABC=}4{\times}6=24\,\text{square cm.}$

$\textbf{Area of triangle ACD:}$

$\text{AC=10 cm, CD=8 cm, AD=10 cm}$

$s=\dfrac{a+b+c}{2}$

$s=\dfrac{10+8+10}{2}=14$

$\text{By using Heron's formula}$

$\textbf{Area of triangle=}$

$=\bf\sqrt{s(s-a)(s-b)(s-c)}$

$=\sqrt{14(14-10)(14-8)(14-10)}$

$=\sqrt{14(4)(6)(4)}$

$=4\sqrt{14(6)}$

$=8\sqrt{21}\;\text{square cm.}$

$\textbf{Area of quadrilateral ABCD}=\textbf{Area of triangle ABC}+\text{Area of triangle ACD}$

$=24+8\sqrt{21}\;\text{square cm.}$

$\therefore\textbf{Area of quadrilateral ABCD is \bf24+8\sqrt{21}\;\text{square cm.} }$

Find more:

In quadrilateral ABCD, angleB = angleD= 90°,

AB = 7 cm, AC = 25 cm, CD = 20 cm.

Find the area of ABCD​

https://brainly.in/question/14114354

Answer 2

Answer:

Suppose there are two countries named woody and sweety. recently, the government of woody has placed many restrictions upon the use of the language of sweety within their borders. they argue that the inflow of sweety’s movies, music, and literature is responsible for the dilution of their rich culture. woody government also claimed that culture of sweety is really strange and sweety should follow woody’s way to do business. what are the possible reasons for woody government to place restrictions on use of sweety language. the argument of woody government is vulnerable to criticism. 500 words .

Step-by-step explanation:

Suppose there are two countries named woody and sweety. recently, the government of woody has placed many restrictions upon the use of the language of sweety within their borders. they argue that the inflow of sweety’s movies, music, and literature is responsible for the dilution of their rich culture. woody government also claimed that culture of sweety is really strange and sweety should follow woody’s way to do business. what are the possible reasons for woody government to place restrictions on use of sweety language. the argument of woody government is vulnerable to criticism. 500 words .