Question

AB=10, AD=24. What is the value of AC+AD?

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Answer 1

52

Explanation:

Given:

AB = 10, AD =24

Required:

Value of AC + BD

SOLUTION:

AC = BD (both are diagonals of the rectangle)

Use pythagorean theorem to find AC.

Thus:

AB² + AD² = BD²

Plug in the values

10² + 24² = BD²

676 = BD²

√676 = BD

26 = BD

BD = AC = 26

Therefore,

AC + BD = 26 + 26 = 52