Question

DRAW A LINE TO CONNECT EACH TRIANGLE TO THE EQUATION THAT COULD BE USED TO FIND THE MISSING SIDE LENGTH AND THEN TO THE LENGTH OF THE SIDE. NOT ALL CHOICES WILL BE USED. 44.8 in 20 in 152 + b2 = 202 15 in 2 21 in 152 + 202 = c2 2 5 in ? 282 + b2 = 352 25 in MISSING LENGTHS OF RIGHT TRIANGLES 13 in 282 + 352 = c2 13.2 in 35 in 7 52 + b2 = 132 12 in 28 in Mansuring the Midda 1c, 2019 hp

Answer 1

The Pythagoras' theorem would be applied for each triangle.

The theorem states as follows;

$\begin{gathered} c^2=a^2+b^2 \\ \text{Where c is the hypotenuse (longest side)} \\ a\text{ and b are the other two sides} \end{gathered}$

For triangle 1, the equation is

$\begin{gathered} 15^2+20^2=c^2 \\ 225+400=c^2 \\ c=\sqrt[]{225+400} \\ c=\sqrt[]{625} \\ c=25 \end{gathered}$

For triangle 2, the equation is

$\begin{gathered} 5^2+b^2=13^2 \\ 25+b^2=169 \\ b^2=169-25 \\ b^2=144 \\ b=\sqrt[]{144} \\ b=12 \end{gathered}$

For triangle 3, the equation is

$\begin{gathered} 28^2+b^2=35^2 \\ 784+b^2=1225 \\ b^2=1225-784 \\ b^2=441 \\ b=\sqrt[]{441} \\ b=21 \end{gathered}$