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katusha2014dub
@katusha2014dub
September 2021
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По данным рисунка найдите площадь треугольника ABC.
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crafting2000203
1)∠BCD=180-135-45°
2) в ΔBCD ∠CBD=90-45=45° => ΔBCD равнобедренный,BD=DC=√2
3) По теореме Пифагора:
BC=√(BD²+DC²)=√(2+2)=√4=2
4)BC=AC=2
5) SΔABC=(a*b*sin∠BCA)/2=(2*2*sin135)/2=2*(√2/2)=√2
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Answers & Comments
2) в ΔBCD ∠CBD=90-45=45° => ΔBCD равнобедренный,BD=DC=√2
3) По теореме Пифагора:
BC=√(BD²+DC²)=√(2+2)=√4=2
4)BC=AC=2
5) SΔABC=(a*b*sin∠BCA)/2=(2*2*sin135)/2=2*(√2/2)=√2