Question

In this figure, AC=16 inches, and BC=11 inches. What is the length of the hypotenuse of △ADB? Drag a value into the box to correctly complete the statement. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The length of the hypotenuse of △ADB is approximately Response area inches. Right triangle D A B with angle A being a right angle. Point C is on side D B and connects to point A forming segment A C. Angle A C B is a right angle.

13.3
24.3
34.3
23.3

Answer 1

The length of the hypotenuse of triangle ADB can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Substituting the given values, the length of the hypotenuse, AD, can be found to be approximately 19.4 inches.

The length of the hypotenuse of triangle ADB can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the other two sides are AC and BC. So, the length of the hypotenuse, AD, can be found by applying the Pythagorean theorem:

AD^2 = AC^2 + BC^2

Substituting the given values, we have:

AD^2 = 16^2 + 11^2

AD^2 = 256 + 121

AD^2 = 377

Taking the square root of both sides, we find:

AD = √377

Using a calculator, √377 is approximately 19.4 inches. Therefore, the length of the hypotenuse of triangle ADB is approximately 19.4 inches.