AP EAMCET · Maths · Properties of Triangles
In \(\triangle \mathrm{ABC}\), if \(a=2(\sqrt{3}+1), B=45^{\circ}\) and \(C=60^{\circ}\), then the area (in sq.units) of that triangle is
- A \(2 \sqrt{3}\)
- B \(6\)
- C \(6+2 \sqrt{3}\)
- D \(6-2 \sqrt{3}\)
Answer & Solution
Correct Answer
(C) \(6+2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(A = 180^{\circ} - 45^{\circ} - 60^{\circ} = 75^{\circ}\) \(b = \frac{a \sin B}{\sin A} = \frac{2(\sqrt{3}+1) \sin 45^{\circ}}{\sin 75^{\circ}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(|x| \lt 1\), the coefficients of \(x^2\) in the power series expansion of \(\frac{x^4}{(x+1)(x-2)}\) isAP EAMCET 2024 Medium
- A circle is drawn with its centre at the focus of the parabola \(y^2=2 p x\) such that it touches the directrix of the parabola. Then a point of intersection of the circle and the parabola isAP EAMCET 2025 Medium
- If are the roots of and is a cube root of unity then is equal toAP EAMCET 2021 Hard
- In \(\triangle A B C\), if \(a=13 \mathrm{~cm}, b=14 \mathrm{~cm}\) and \(c=15 \mathrm{~cm}\) then its circumradius, \(R=\)AP EAMCET 2020 Easy
- If \(A\) and \(B\) are two independent events such that \(P(B)=\frac{2}{7}, P\left(A \cup B^c\right)=0.8\), then \(P(A)\) is equal to :AP EAMCET 2006 Medium
- In triangle ABC, if \(\mathrm{a}=6, \mathrm{~b}=8\) and \(\mathrm{c}=10\), then \(\frac{2 \mathrm{r}_2 \mathrm{r}_3}{\mathrm{rr}_1}=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- AP EAMCET 2022 Medium
- The correct order of bond enthalpy of given molecules isAP EAMCET 2023 Easy
- The velocity of a particle is given by \(v=2 t^2-8 t+15 \mathrm{~ms}^{-1}\). Find its instantaneous acceleration at \(t=5 \mathrm{~s}\).AP EAMCET 2021 Easy
- A ball falls freely from a height of \(180 \mathrm{~m}\) on to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )AP EAMCET 2018 Hard - If the slope of one line of the pair of lines \(2 x^2+h x y+6 y^2\) \(=0\) is thrice the slone of the other line, then \(\mathrm{h}=\)AP EAMCET 2024 Easy
- If \(\theta=\operatorname{Tan}^{-1}\left(\frac{1}{3}\right)+\operatorname{Tan}^{-1}\left(\frac{1}{7}\right)+\operatorname{Tan}^{-1}\left(\frac{1}{13}\right)+\operatorname{Tan}^{-1}\left(\frac{1}{21}\right)+\operatorname{Tan}^{-1}\left(\frac{1}{31}\right)\), then \(\tan \theta=\)AP EAMCET 2025 Medium