WebOct 10, 2024 · Academic Mathematics NCERT Class 10 Given: In a A B C, right angled at B, A B = 24 c m, B C = 7 c m . To do: We have to determine s i n A, c o s A. Solution: We know … Web8.如图,已知 ABC中,AB=AC=24cm,∠B=∠C,BC=16cm,点D为AB的中点,如果点P在线段BC上以4cm/s的速度由B点向C点运动,同时,点Q在线段CA
In a $triangle ABC$, right angled at $B, AB = 24 cm, BC = 7 …
WebIn ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine : (i) sin A, cos A (ii) sin C, cos C Solution: We use the basic formulas of trigonometric ratios to solve the question. Applying the Pythagoras theorem for ∆ABC, we can find the hypotenuse (side AC). Once hypotenuse is known, we can find sine and cosine angles using trigonometric ratios. WebSo, it is not a right triangle. iv.Given that sides are 13 cm, 12 cm, and 5 cm. Squaring the lengths of these sides we may get 169, 144, and 25. Clearly, 144 +25 = 169 Or, 12 2 + 5 2 = 13 2. Therefore given triangle is satisfying Pythagoras theorem. So, it is a right triangle. The longest side in a right angled triangle is the hypotenuse. table tennis at the 2022 commonwealth games
EXERCISE 8.1 1. In ABC, right-angled at B,AB=24 cm,BC=7 cm.
WebMar 14, 2024 · Here, we have to find the sine and cosine angles at A and C. First, we will use Pythagoras theorem to find the hypotenuse of a right angled triangle. Then we have to use the trigonometric ratios to find the sine and cosine angles at A and C. Formula used: We will use the following formulas: 1) Pythagoras theorem: \[A{C^2} = A{B^2} + B{C^2}\] WebJul 2, 2024 · AB = 7 cm, BC = 24 cm and AC = 25 cm Calculations: In ΔABC, AC 2 = AB 2 + BC 2 ΔABC is right angled triangle at B Let the coordinates of B = (0 , 0) Coordinates of A = (0 , 7) and Coordinates of C = (24 , 0) Centroid (G) of ΔABC = ( 0 + 0 + 24 3, 7 + 0 + 0 3) ⇒ Centroid (G) of ΔABC = (8, 7/3) By distance formula: BG 2 = (8 - 0) 2 + (7/3 - 0) 2 WebMar 20, 2024 · 9. In triangle A BC, right-angled at B, if tan A = 3 1 ' find the value of: (i) sin A cos C + cos A sin C (ii) cos A cos C − sin A sin C 10. In PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P. 11. State whether the following are true or false. Justify your answer. (i) The value of tan A is ... table tennis at the commonwealth games