11,503 views
43 votes
43 votes
Find the missing length of the triangle. 14 cm 8.4 cm b The missing length is centimeters.

Find the missing length of the triangle. 14 cm 8.4 cm b The missing length is centimeters-example-1
User Ianis
by
2.5k points

1 Answer

25 votes
25 votes

Answer:

11.2cm

Step-by-step explanation:

To be able to determine the missing length, we have to apply the Pythagorean Theorem which states that, in a right-angled triangle, the square of the hypotenuse(the longest side) is equal to the sum of squares of the other two sides.

Let's go ahead and find b as follows;


\begin{gathered} 14^2=8.4^2+b^2 \\ 196=70.56+b^2 \\ 196-70.56=b^2 \\ 125.44=b^2 \\ b=\sqrt[]{125.44}=11.2\operatorname{cm} \end{gathered}

User Dies
by
2.7k points