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Construct an equilateral triangle XYZ of length 6 cm. What is the measure of size XYZ?

Mathematics

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Answer

Ukubwa wa pembe YXZ ni 60∘\text{Ukubwa wa pembe YXZ ni } 60^\circ

Step-by-step solution

3 steps

Hili hapa suluhisho la swali lako:

  1. Tambua sifa za pembetatu sawia (equilateral triangle).

    Pembetatu sawia ni pembetatu ambayo pande zake zote tatu zina urefu sawa, na pembe zake zote tatu za ndani zina ukubwa sawa. Jumla ya pembe za ndani za pembetatu yoyote ni 180∘180^\circ.

  2. Kokotoa ukubwa wa kila pembe.

    Kwa kuwa pembe zote tatu za pembetatu sawia ni sawa, kila pembe inaweza kukokotolewa kwa kugawanya jumla ya pembe kwa 3.

    Ukubwa wa kila pembe=180∘3\text{Ukubwa wa kila pembe} = \frac{180^\circ}{3} Ukubwa wa kila pembe=60∘\text{Ukubwa wa kila pembe} = 60^\circ

  3. Taja ukubwa wa pembe YXZ.

    Katika pembetatu XYZ, pembe YXZ inarejelea pembe iliyo kwenye kipeo X. Kwa kuwa ni pembetatu sawia, pembe zote ni 60∘60^\circ.
    Kwa hiyo, ukubwa wa pembe YXZ ni 60∘60^\circ.

    Jibu la mwisho ni:

    Ukubwa wa pembe YXZ ni 60∘\text{Ukubwa wa pembe YXZ ni } 60^\circ
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