Calculate the area of the triangle shown below. (3 marks)

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ScanSolve AI Tutor · Accepted Answer

Hapa kuna suluhisho la swali la 1:

Ili kuhesabu eneo la pembetatu, tunatumia formula ya eneo la pembetatu inayohusisha pande mbili na pembe iliyopo katikati yao.

Tambua pande na pembe iliyopo katikati.
Pande zilizopewa ni $5.5 \text{ cm}$ na $3.6 \text{ cm}$ .
Pembe iliyopo katikati ya pande hizi ni $24^\circ$ .
Tumia formula ya eneo la pembetatu.
Formula ni:
$\text{Eneo} = \frac{1}{2}ab \sin \theta$
Ambapo $a$ na $b$ ni urefu wa pande mbili, na $\theta$ ni pembe iliyopo katikati yao.
Badilisha thamani na hesabu.
$\text{Eneo} = \frac{1}{2} \times 5.5 \text{ cm} \times 3.6 \text{ cm} \times \sin(24^\circ)$ $\text{Eneo} = \frac{1}{2} \times 19.8 \text{ cm}^2 \times 0.4067366$ $\text{Eneo} = 9.9 \text{ cm}^2 \times 0.4067366$ $\text{Eneo} \approx 4.02669 \text{ cm}^2$
Kuzungusha hadi sehemu mbili za desimali:
$\text{Eneo} \approx 4.03 \text{ cm}^2$
Eneo la pembetatu ni $\text{4.03 cm}^2$ .

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