Express sec A and cos A in terms of sides of right angle triangle

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

If one of the sides and any other part (either an acute angle or any side) of a right angle triangle is known, the remaining sides and angles of the triangle can be determined. Do you agree? Explain with an example.

Envied by the popularity of Pythagoras his disciple claimed a different relation between the sides of right angle triangles. By observing this what do you notice?

Express the ratios cos A, tan A and sec A in terms of sin A.

Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0 ° and 45°

Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°

Two maiden are drawn from the verticies of an acute angles of the isosceless right angled triangle then angle between them is ..........

Find the equation of one of the sides of an isosceles right angled triangle whose hypotenuse is given by 3x + 4y =4 and the opposite vertex of the hypotenuse is (2,2) .

If the lengths of sides of right angled triangle are in A.P then the sines of the acute angles are

In a right angled triangle, the length of the hypotenuse is 15 cm and one of the sides forming right angle is 9 cm. Then, the semiperimeter of the triangle is …………..cm.