Question

If DB = 9 and DC = 4, find the length of segment DA.

Answer 1

Given that DB = 9 and DC = 4, we can use the Pythagorean theorem to find the length of the hypotenuse DA. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, we have:

DA^2 = DB^2 + DC^2 DA^2 = 9^2 + 4^2 DA^2 = 81 + 16 DA^2 = 97

Taking the square root of both sides gives:

DA = sqrt(97) ≈ 9.85

So, the length of segment DA is approximately 9.85 cm.

Explanation: