Question

c) d) 5 m x 4 m

Explanation:

Step1: Identify the applicable theorem

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for right - angled triangles, where $c$ is the hypotenuse. Here, $c = 5$ m, $a = 4$ m and $b=x$.

Step2: Rearrange the Pythagorean formula

We can rewrite the formula as $x=\sqrt{c^{2}-a^{2}}$.

Step3: Substitute the values

Substitute $c = 5$ and $a = 4$ into the formula: $x=\sqrt{5^{2}-4^{2}}=\sqrt{25 - 16}=\sqrt{9}$.

Step4: Calculate the result

$\sqrt{9}=3$ m.

Answer:

$3$ m