AP EAMCET · Maths · Properties of Triangles
In \(\triangle \mathrm{ABC}\), if \(\mathrm{A}: \mathrm{B}: \mathrm{C}=5: 1: 6\) then \(a:b:c =\)
- A \(\sqrt{2}+1: \sqrt{2}-1: 2 \sqrt{2}\)
- B \(\sqrt{3}-1: \sqrt{3}+1: 2 \sqrt{2}\)
- C \(\sqrt{3}+1: \sqrt{3}-1: 2 \sqrt{2}\)
- D \(\sqrt{3}-1: \sqrt{3}+1: 1\)
Answer & Solution
Correct Answer
(C) \(\sqrt{3}+1: \sqrt{3}-1: 2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(A: B: C=5: 1: 6 \Rightarrow 5x+x+6x = 180^\circ \Rightarrow 12x = 180^\circ \Rightarrow x = 15^\circ\) \(A = 5 \times 15^\circ = 75^\circ\) \(B = 1 \times 15^\circ = 15^\circ\) \(C = 6 \times 15^\circ = 90^\circ\) \(a:b:c = \sin A : \sin B : \sin C\)…
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
- The area (in sq. units) bounded by \(x=4, y=-4\) and \(y=x\) isAP EAMCET 2023 Easy
- If the sum of the slopes of the lines given by \(4 x^2+2 \lambda x y-7 y^2=0\) is equal to the product of the slopes, then \(\lambda\) is equal toAP EAMCET 2020 Easy
- Assuming \(x\) to be so small that \(x^2\) and higher powers of \(x\) can be neglected, the coefficient of \(x\) in \(\frac{(1-x)^{1 / 3}+(1-5 x)^2}{(16-x)^{1 / 4}}\) is equal toAP EAMCET 2020 Medium
- \(1+\frac{4}{15}+\frac{4.10}{15.30}+\frac{4.10 .16}{15.30 .45}+\ldots \quad \infty=\)AP EAMCET 2025 Medium
- If \({ }^n P_r={ }^{(n-1)} P_r+x^{(n-1)} P_{(r+1)}, \forall n, r \in N\) and \(r \leq n\), then \(x=\)AP EAMCET 2022 Easy
- The direction cosines of a line are \(\left\langle\frac{-9}{11}, \frac{6}{11}, \frac{-2}{11}\right\rangle\) respectively. Then its direction ratios areAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- The number of all possible positive integral solutions of the equation \(\mathrm{xyz}=30\) isAP EAMCET 2025 Medium
- Light of wavelength \(488 \mathrm{~nm}\) produced by an Agron laser is used in the photoelectric effect. When light from this spectral line is incident on the cathode, the stopping potential of the photoelectrons is \(0.38 \mathrm{~V}\). The work function of the cathode material isAP EAMCET 2019 Hard
- Which of the following is not correct?AP EAMCET 2006 Medium
- Positron is the antiparticle ofAP EAMCET 2023 Easy
- If a running track of 500 ft . is to be laid out enclosing a playground, the shape of which is a rectangle with a semicircle at each end, then the length of the rectangular portion such that the area of the rectangular portion is to be maximum is (in feet).AP EAMCET 2024 Easy
- The primary of a transformer has 100 turns and operates at \(100 \mathrm{~V}-200 \mathrm{~W}\). The number of turns in the secondary, if the output voltage is \(2000 \mathrm{~V}\), thenAP EAMCET 2020 Medium