Question

Altidude km is drawn to the hypotenuse of right traingle jkl if km=4.8 and jm =6.4 find kl

Answer 1

Step 1: Represent the information provided in a right-angled triangle

Let's get side JK. We will use the Pythagoras theorem to solve for this

`\begin{gathered} |jk|^2=6.4^2+4.8^2 \\ |jk|^2=40.96+23.04 \\ |jk|^2=64 \\ |jk|=\sqrt[]{64} \\ |jk|=8 \end{gathered}`

mm

Hence,

Triangle JKL is similar to triangle JMK

Therefore, the ratios of their corresponding sides are equal.

Thus,

`\begin{gathered} (KL)/(4.8)=(JK)/(6.4) \\ \text{ Hence} \\ KL=(4.8JK)/(6.4) \\ KL=(4.8*8)/(6.4)=6 \end{gathered}`

Hence, side KL = 6