AP EAMCET · Maths · Properties of Triangles
If two angles of \(\triangle A B C\) are \(45^{\circ}\) and \(60^{\circ}\), then the ratio of the smallest and the greatest sides are
- A \((\sqrt{3}-1): 1\)
- B \(\sqrt{3}: \sqrt{2}\)
- C \(1: \sqrt{3}\)
- D \(\sqrt{3}: 1\)
Answer & Solution
Correct Answer
(C) \(1: \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let \(A=45^{\circ}\) and \(B=60^{\circ}\) \(\therefore \quad C=75^{\circ}\) Let smallest and greatest sides are \(a\) and \(c\).…
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
- In \(\triangle P Q R, M\) is the mid-point of \(Q R\) and \(C\) is the mid-point of \(P M\). If \(Q C\) when extended meets \(P R\) at \(N\), then \(\frac{|\overrightarrow{Q N}|}{|\overline{C N}|}=\)AP EAMCET 2018 Medium
- \(\int_0^1 x^{5 / 2}(1-x)^{3 / 2} \mathrm{~d} x=\)AP EAMCET 2025 Medium
- If \(y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots . \infty}}}\) then the value of \(\frac{d^2 y}{d x^2}\) at the point \((\pi, 1)\) isAP EAMCET 2024 Easy
- On every evening, a student either watches TV or reads a book. The probability of watching TV is \(\frac{4}{5}\). If he watches TV, the probability that he will fall asleep is \(\frac{3}{4}\) and it is \(\frac{1}{4}\) when he reads a book. If the student is found to be asleep on an evening, the probability that he watched the TV isAP EAMCET 2025 Medium
- If \(\frac{3+2 i \sin \theta}{1-2 i \sin \theta}\) is a real number and \(0 < \theta < 2 \pi\), then \(\theta\) is equal toAP EAMCET 2002 Easy
- If the function \(f(x)=\sin x-\cos ^2 x\) is defined on the interval \([-\pi, \pi]\), then \(f\) is strictly increasing in the intervalAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- Let \(X \sim B(n, p)\) with mean \(\mu\) and variance \(\sigma^2\). If \(\mu=2 \sigma^2\) and \(\mu+\sigma^2=3\), then \(\mathrm{P}(\mathrm{X} \leq 3)=\)AP EAMCET 2025 Medium
- If the cold junction is held at \(0^{\circ} \mathrm{C}\), the same thermo emf \(V\) of a thermocouple varies as \(V=10 \times 10^{-6} t-\frac{1}{40} \times 10^{-6} t^2\), where \(t\) is the temperature of the hot junction in \({ }^{\circ} \mathrm{C}\). The neutral temperature and the maximum value of thermo emf are respectively :AP EAMCET 2006 Medium
- A satellite moving round the earth in a circular orbit has kinetic energy ' \(E\) '. Then, the minimum amount of energy to be added so that it escapes from the earth.AP EAMCET 2024 Easy
- In a series LCR circuit, the voltages across the capacitor, resistor and inductor are in the ratio \(2: 3: 6\). If the voltage of the ac source in the circuit is 240 V, then the voltage across the inductor isAP EAMCET 2025 Medium
- Suppose the vertices of a triangle are given by \(\mathrm{A}(0,3)\), \(\mathrm{B}(-2,0)\) and \(\mathrm{C}(6,1)\). For \((\alpha, \alpha+1)\) to lie inside the triangle, \(\alpha\) should lie in the intervalAP EAMCET 2022 Easy
- If the radius of gyration of a thin circular ring about an axis passing through its centre and perpendicular to its plane is \(10 \sqrt{2} \mathrm{~cm}\), then its radius of gyration about its diameter isAP EAMCET 2025 Medium