Question

Use the information given in the figure to find the length AD . if applicable, round your answer to the nearest whole number .

PLEASE HELP

Answer 1

Explanation:

first Pythagoras to get BD (the height of the main triangle) :

105² = 84² + BD²

11025 = 7056 + BD²

BD² = 3969

BD = 63

second Pythagoras to get AD :

65² = AD² + BD² = AD² + 63²

4225 = 3969 + AD²

AD² = 256

AD = 16