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- Chapter 1- Rational and Irrational Numbers
- Chapter 2- Compound Interest [Without Using Formula
- Chapter 3- Compound Interest [Using Formula
- Chapter 4- Expansions
- Chapter 5- Factorisation
- Chapter 6- Simultaneous Equations
- Chapter 7- Indices [exponents]
- Chapter 8- Logarithms
- Chapter 9- Triangles [Congruency in Triangles]
- Chapter 10- Isosceles Triangle
- Chapter 11- Inequalities
- Chapter 12- Mid-Point and Its Converse
- Chapter 13- Pythagoras Theorem
- Chapter 14- Rectilinear Figures
- Chapter 15- Construction of Polygons
- Chapter 16- Area Theorems
- Chapter 17- Circles
- Chapter 18- Statistics
- Chapter 19- Mean and Median
- Chapter 20- Area and Perimeter of Plane Figures
- Chapter 21- Solids
- Chapter 22- Trigonometrical Ratios
- Chapter 23- Trigonometrical Ratios of Standard Angles
- Chapter 24- Solution Of Right Triangles
- Chapter 25- Complementary angles
- Chapter 26- Co-ordinate Geometry
- Chapter 27- Graphical Solution
- Chapter 28- Distance Formula
Selina Solutions Class 9 Mathematics Solutions for Exercise 24 in Chapter 24 - Chapter 24- Solution Of Right Triangles
Question 1 Exercise 24
- Find 'x' if:
(i)
(ii)
(iii)
Answer:
(i)
\begin{aligned} \sin 60^{\circ} &=\frac{20}{x} \\ \frac{\sqrt{3}}{2} &=\frac{20}{x} \\ x &=\frac{40}{\sqrt{3}} \end{aligned}
(ii)
\begin{aligned} \tan 30^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{3}} &=\frac{20}{x} \\ x &=20 \sqrt{3} \end{aligned}
(iii)
\begin{aligned} \sin 45^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{2}} &=\frac{20}{x} \\ x &=20 \sqrt{2} \end{aligned}
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