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Find the measure of each

June 16, 2026Mathematics

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Answer

\text{15 cm}

6 steps

Tambua kuwa pembetatu hii ni pembetatu ya pembe mraba (right-angled triangle) kwa sababu ina alama ya pembe mraba.
Ili kupata urefu wa upande $x$ , tutatumia Theorem ya Pythagoras.
Theorem ya Pythagoras inasema: $a^2 + b^2 = c^2$ , ambapo $a$ na $b$ ni urefu wa pande fupi, na $c$ ni urefu wa hypotenuse (upande mrefu zaidi).
Badilisha thamani zilizopewa kwenye fomula.
Tuna $a = 9$ cm na $b = 12$ cm, na $c = x$ .
$9^2 + 12^2 = x^2$
Kokotoa miraba ya namba.
$81 + 144 = x^2$
Jumlisha namba hizo.
$225 = x^2$
Tafuta mzizi wa mraba wa pande zote mbili ili kupata $x$ .
$\sqrt{225} = \sqrt{x^2}$ $15 = x$
Andika jibu la mwisho na vitengo vyake.
$x = 15 \text{ cm}$
Jibu la mwisho ni:
$\text{15 cm}$

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