AP EAMCET · Maths · Properties of Triangles
In a \(\triangle \mathrm{ABC}\), if \(\mathrm{a}=13, \mathrm{~b}=14\) and \(\mathrm{c}=15\), then \(\sin\)
- A \(\frac{1}{\sqrt{5}}\)
- B \(\frac{1}{\sqrt{7}}\)
- C \(\frac{3}{4}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{\sqrt{5}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{WSA}=1-2 \operatorname{Sin}^2\left(\frac{\mathrm{A}}{2}\right)\) \(\begin{aligned} & 2 \operatorname{Sin}^2\left(\frac{A}{2}\right)=- \text { WSA }+1 \\ & \operatorname{Sin}^2\left(\frac{A}{2}\right)=\frac{-W S A+1}{2}\end{aligned}\) Now WSA…
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
- If \(3 f(x)-2 f\left(\frac{1}{x}\right)=x\), then \(f^{\prime}(2)\) is equal toAP EAMCET 2021 Hard
- Find the minimum radius of the circle which is orthogonal to both the circles \(x^2+y^2+4 x+3=0\) and \(x^2+y^2-12 x+35=0\).AP EAMCET 2020 Medium
- The general solution of the differential equation \((x-(x+y) \log (x+y)) d x+x d y=0\) isAP EAMCET 2025 Medium
- If \(f: \mathbf{R} \rightarrow \mathbf{R}\) is defined as \(f(x)=x^2-2 x-3\) then \(f\) isAP EAMCET 2022 Easy
- If \(\Delta_k=\left|\begin{array}{ccc}1 & 0 & 0 \\ 0 & k & k-1 \\ 0 & k-1 & k\end{array}\right|\), then \(\Delta_1+\Delta_2+\ldots+\Delta_{20}\) is equal toAP EAMCET 2021 Easy
- The area (in square units) of the triangle formed by the lines \(x=0, y=0\) and \(3 x+4 y=12\), isAP EAMCET 2005 Easy
More PYQs from AP EAMCET
- Suppose \(\quad f:[-2,2] \rightarrow R \quad\) is defined by
\(f(x)=\left\{\begin{array}{ccc}-1, & \text { for } & -2 \leq x \leq 0 \\x-1, & \text { for } & 0 \leq x \leq 2 \\\{x \in[-2,2]: x \leq 0 & \text { and } & f(|x|)=x\end{array}\right.\)
is equal tosAP EAMCET 2003 Medium - The relation between time ' \(t\) ' and displacement ' \(x\) ' is \(t=\alpha x^2+\beta x\) where \(\alpha\) and \(\beta\) are constants. If ' \(v\) ' is the velocity, the retardation isAP EAMCET 2024 Medium
- If \(\mathbf{a}=4 \hat{i}+6 \hat{j}, \mathbf{b}=3 \hat{j}+4 \hat{k}\) and \(\mathbf{c}\). is the projection vector of \(\mathbf{a}\) on \(\mathbf{b}\), then \(\mathbf{c}\) and \(|\mathbf{c}|\) respectively areAP EAMCET 2022 Medium
- The product of the perpendicular distances from \((1,-1)\) to the pair of lines \(x^2-4 x y+y^2=0\), isAP EAMCET 2018 Easy
- The equal sides of an isosceles triangle are given by equations \(7 x-y+3=0\) and \(x+y-3=0\). If the slope \(m\) of the third side is an integer, then \(\mathrm{m}=\)AP EAMCET 2023 Hard
- If \(\cos \theta=\frac{\cos \alpha-\cos \beta}{1-\cos \alpha \cos \beta}\), then one of the values of \(\tan \frac{\theta}{2}\) isAP EAMCET 2016 Medium