Question

1. tamara is building a brace to attach her shelf to the wall as shown in the diagram.she will attached the brace to the front edge of the 6-inch shelf and 3 inches downthe wall from the bottom of the shelf.which measurement is closest to the length of the brace she will need in inches?5.2 inches6.7 inches27 inches45 inchesclear all

Explanation:

Step1: Identify right triangle sides

The shelf, wall segment, and brace form a right triangle with legs $a=6$ inches and $b=3$ inches. The brace is the hypotenuse $c$.

Step2: Apply Pythagorean theorem

Use $c=\sqrt{a^2 + b^2}$ to find the hypotenuse.
$$c=\sqrt{6^2 + 3^2}$$

Step3: Calculate squared terms

Compute the squares of the legs.
$$6^2=36, \quad 3^2=9$$

Step4: Sum and take square root

Add the squared values, then find the square root.
$$c=\sqrt{36+9}=\sqrt{45}\approx6.7$$

Answer:

6.7 inches