A garden is in the shape of a right-angled triangle. The length of the shortest side is 17 m and the area of the garden is 346.8 m2. Calculate the length of the longest side of the garden.

Eneo $A = \frac{1}{2} \times \text{base} \times \text{height}$. Tunajua upande mfupi zaidi (base) ni $17 \text{ m}$ na eneo ni $346.8 \text{ m}^2$.

$$346.8 = \frac{1}{2} \times 17 \times \text{height}$$

$$346.8 \times 2 = 17 \times \text{height}$$ $$693.6 = 17 \times \text{height}$$ $$\text{height} = \frac{693.6}{17}$$ $$\text{height} = 40.8 \text{ m}$$

$17 \text{ m}$ na $40.8 \text{ m}$. Upande mrefu zaidi katika pembetatu ya pembe mraba ni hypotenuse. Tumia theorem ya Pythagoras ($c^2 = a^2 + b^2$) kupata urefu wa upande mrefu zaidi.

$$c^2 = (17)^2 + (40.8)^2$$

$$c^2 = 289 + 1664.64$$ $$c^2 = 1953.64$$

$$c = \sqrt{1953.64}$$ $$c = 44.2 \text{ m}$$

Urefu wa upande mrefu zaidi wa bustani ni 44.2 m.

$$\text{44.2 m}$$