A ladder leans against a wall. The foot of the ladder is 1.5 metres from the wall and the ladder reaches 3.6 metres up the wall. Find the area of triangle formed by the ladder the wall and the ground.

Mathematics
A ladder leans against a wall. The foot of the ladder is 1.5 metres from the wall and the ladder reaches 3.6 metres up the wall. Find the area of triangle formed by the ladder the wall and the ground.

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Answer

2.7 m2\text{2.7 m}^2

Huu hapa ni ufumbuzi wa swali la 23:

Step 1: Tambua vipimo vya pembetatu. Ngazi, ukuta, na ardhi huunda pembetatu ya kulia. Urefu wa msingi (umbali kutoka ukuta) = 1.51.5 m Urefu (urefu wa ngazi kwenye ukuta) = 3.63.6 m

Step 2: Tumia fomula ya eneo la pembetatu. Eneo la pembetatu hutolewa na fomula: Eneo=12×msingi×urefu\text{Eneo} = \frac{1}{2} \times \text{msingi} \times \text{urefu}

Step 3: Badilisha thamani na hesabu eneo. Eneo=12×1.5 m×3.6 m\text{Eneo} = \frac{1}{2} \times 1.5\, \text{m} \times 3.6\, \text{m} Eneo=0.5×5.4 m2\text{Eneo} = 0.5 \times 5.4\, \text{m}^2 Eneo=2.7 m2\text{Eneo} = 2.7\, \text{m}^2

Eneo la pembetatu iliyoundwa ni 2.7 m2\boxed{\text{2.7 m}^2}.

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