Dalam rajah di bawah, KNM ialah garis lurus. Cari panjang KL. A. 20 LN=sqrt(LM^(2)+NM^(2)) B. 25 C. 30 D. 35 13^(2)=sqrt(12^(2)+NM^(2)) NM =sqrt((2)/(12^(2)-13^(2))) =sqrt(169-144) =sqrt25 =5

B

The question involves the use of the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the triangle's sides are LN, LM, and NM. The length of LN is given as 13 units, and LM is 12 units. We are asked to find NM. When the values are substituted into the Pythagorean theorem, we get NM² = LN² - LM², which simplifies to NM² = 169 - 144 = 25. Therefore, NM = √25 = 5 units. The question, however, asked for the length of KL, but since KL = LN, the length of KL is 13 units. The options provided don't correspond to this answer, and there appears to be a mistake. However, based on the working given, it's evident that the calculation for NM was expected, which is 5 units, matching option B.