In triangle ABC, angle C is 90 degrees, CD height is 4.8, AD: DB is 16: 9. find AB

Since according to the condition in the triangle ABC the angle C is straight, then such a triangle is right-angled.

Let’s draw the height of CD, which is 4.8.

For the correspondences in a right-angled triangle CD ^ 2 = AD * BD, then 4.8 * 4.8 = 16x * 9x = 144 * x ^ 2, where x = 0.4.

Then AB = 16 * 0.4 + 9 * 0.4 = 10.



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