Question

Maria is putting up a shelf on a wall in her closet. The figure below shows triangle ABC, which
represents a bracket that will be used to support the shelf. What is the length of the wall? *

Answer 1

To solve this you will need to know the Pythagorean therum A^2+B^2=C^2

24^+B^2=28^2
576+B^2=784
-576. -576
B^2=208
Square root of 208 is about 14.42 and that is the length of the wall

Answer 2

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem $a^{2}+b^{2}=c^{2}$

Since we only have one side and the hypotenuse:

$a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208$

$a=\sqrt{208}\\a= 14.42\\a= 14 cm$