Question

in triangle abc a + b is equals to 18 unit b + C is equal to 25 units AC + is equal to 17 unit find what type of triangle ABC is​

Answer 1

$\textbf{Given:}$

$\text{In \triangle{ABC} ,}$

$\text{a+b=18, b+c=25 and a+c=17}$

$\text{Adding these equations, we get}$

$\text{2a+2b+c=60}$

$\implies\textbf{a+b+c=30}$

$\text{Now,}$

$\text{a+b+c=30 and a+b=18}$

$\text{18+c=30}\implies\textbf{c=12}$

$\text{a+b+c=30 and b+c=25}$

$\text{a+25=30}\implies\textbf{a=5}$

$\text{a+b+c=30 and a+c=17}$

$\text{17+b=30}\implies\textbf{b=13}$

$\text{Here,}$

$a^2+c^2=25+144=169=13^2=b^2$

$\implies\,a^2+c^2=b^2$

$\text{Square of one side of the triangle is}$

$\text{equal to sum of the squares on the other two sides}$

$\therefore\textbf{The given triangle is right angled triangle}$

Answer 2

Answer:1

Step-by-step explanation: