A Trigonometric question |solve this triangle | solve for x #mathproblem #trignometry #class9maths

A Trigonometric question |solve this triangle | solve for x #mathproblem #trignometry #class9maths #maths #mathproblem #mathstricks #mathproblems #mathkeeda #shortmathtrick #education #phonk #mathematics #slowedandreverb, #Pythagorean Theorem #RightAngle Triangle #Class9Math #FindSideOfTriangle #Math Tutorial #GeometryBasics, Given: In triangle ABC: AC = 6 AB = x BC = 10 Assuming ∠A is a right angle (as you're using the Pythagorean theorem), we apply: Pythagoras Theorem: In a right-angled triangle: (Hypotenuse) (Base) + (Perpendicular)" We need to identify the right angle. Let's assume ∠A = 90° (right angle at A). That means: Hypotenuse = BC = 10 Perpendicular = AC = 6 Base = AB = x (unknown) Step-by-step Solution: Using the Pythagorean theorem: B * C ^ 2 = A * B ^ 2 + A * C ^ 2 10 ^ 2 = x ^ 2 + 6 ^ 2 100 = x ^ 2 + 36 100 x² +36 x^2 =100-36 = 64 x = √64 = 8 Answer: X= 8 Definition of Pythagoras Theorem: "In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides." Identifying Sides: Hypotenuse is the longest side (opposite to right angle) Other two are base and perpendicular Step-by-step solving method: Plug in known values Solve algebraically Important Condition: The triangle must be a right-angled triangle to apply the theorem. 5. Real-life uses: Used in construction, navigation, design, etc.