ΔABC represents a triangle with three vertices A, B, and C. It is a fundamental geometric shape with three sides and three angles. The sum of its interior angles is always 180°. Depending on side lengths and angles, ΔABC can be classified as scalene, isosceles, or equilateral.
Class 10 Maths Chapter 6 Triangles focuses on similarity and congruence of triangles. It covers theorems like the Pythagoras theorem and concepts of proportionality. Students learn to apply these properties in problem-solving and real-life situations. Mastering this chapter is essential for CBSE Exam 2024-25 and builds a strong foundation for higher mathematics and practical applications.
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In ΔABC, given that ∠B = 90°, AB = 6 cm, and BC = 8 cm, we can determine sin A using the definition of sine in a right triangle.
First, calculate the hypotenuse AC using the Pythagorean theorem:
AC² = AB² + BC²
AC² = 6² + 8²
AC² = 36 + 64
AC² = 100
AC = √100 = 10 cm
Now, recall that sin A is defined as the ratio of the length of the side opposite to ∠A (BC) to the hypotenuse (AC):
sin A = (opposite side) / (hypotenuse)
sin A = BC / AC
sin A = 8 / 10
Thus, the correct answer is 8/10.
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