Question

DRAG THE CORRECT MISSING LENGTH OF EACH RIGHT TRIANGLE TO THE PURPLE BOX. NOT ALL PIECES WILL BE USED. A B C 8 60 3 11 4 17 MISSING LENGTHS OF RIGHT TRIANGLES E F 7 12.5 12 7.5 25 35 5 71 37 61 3.5 47] 10 17 1524 DRAG THESE Manewering the date, 2019 Š re

Answer 1

Pythagorean theorem:

c² = a² + b²

where a and b are the legs, and c is the hypotenuse of a right triangle.

A.

$\begin{gathered} c^2=3^2+4^2 \\ c^2=9+16 \\ c^2=25 \\ c=\sqrt[]{25} \\ c=5 \end{gathered}$

B.

$\begin{gathered} 17^2=8^2+b^2 \\ 289=64+b^2 \\ 289-64=b^2 \\ \sqrt[]{225}=b \\ 15=b \end{gathered}$

C.

$\begin{gathered} c^2=60^2+11^2 \\ c^2=3721 \\ c=\sqrt[]{3721} \\ c=61 \end{gathered}$

D.

$\begin{gathered} 25^2=7^2+b^2 \\ 625-49=b^2 \\ \sqrt[]{576}=b \\ 24=b \end{gathered}$

E.

$\begin{gathered} c^2=35^2+12^2 \\ c=\sqrt[]{1369} \\ c=37 \end{gathered}$

F.

$\begin{gathered} 12.5^2=7.5^2+b^2 \\ 156.25-56.25=b^2 \\ \sqrt[]{100}=b \\ 10=b \end{gathered}$