Embibe Experts Solutions for Chapter: Properties of Triangles, Exercise 1: AP EAPCET 2021 (19-Aug Forenoon)

In $∆ABC,A=75°,B=45°$ then the value of $b+c\sqrt{2}=$

In triangle $ABC, \frac{a+b+c}{BC+AB}+\frac{a+b+c}{AC+AB}=3$ then $\tan \frac{C}{8}=$

In a $\Delta ABC, 2{\Delta }^2=\frac{a^2{b}^2{c}^2}{a^2+b^2+c^2}$, then the triangle is

What is the value of $(a-b{)}^2{\cos }^2\frac{c}{2}+(a+b{)}^2{\sin }^2\frac{c}{2}=$

If in $∆ABC,a\tan A+b\tan B=(a+b)·\tan \left(\frac{A+B}{2}\right)$, then which of the following holds?

In $∆ABC$, suppose the radius of the circle opposite to an angle $A$ is denoted by $r_1$, similarly $r_2\leftrightarrow$ angle $B, r_3\leftrightarrow$ angle $C.$ If $\text{'}r\text{'}$ is the radius of inscribed circle then, what is the value of $\frac{ab-r_1{r}_2}{r_3}=$

In $∆ABC$, suppose the radius of the circle opposite to angle $A, B$ and $C$ is denoted by $r_1$, $r_2$ and $r_3$. If $r_1=2, r_2=3, r_3=6$ and $R$ is the radius of the circumcircle, then the value of $r_1+r_2+r_3-r=$

In $∆ABC$, suppose the radius of the circle opposite to angle $A$ is denoted by $r_1$, similarly $r_2\leftrightarrow$ angle $B,r_3\leftrightarrow$ angle $C$. If $r_1=2,r_2=3,r_3=6$, then what is $(a, b, c)=$