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Category: Geometry

Question-56289

Question Number 56289 by mr W last updated on 13/Mar/19 Commented by mr W last updated on 13/Mar/19 $${See}\:{Q}\mathrm{56264} \\ $$$${Find}\:{the}\:{max}.\:{and}\:{min}.\:{circumscribing} \\ $$$${equilateral}\:{triangle}\:{of}\:{a}\:{given}\:{triangle} \\ $$$${with}\:{side}\:{lengthes}\:{a},\:{b}\:{and}\:{c}.…

Question-121802

Question Number 121802 by prakash jain last updated on 11/Nov/20 Commented by prakash jain last updated on 11/Nov/20 $$\mathrm{ajfour}\:\mathrm{sir},\:\mathrm{i}\:\mathrm{cannot}\:\mathrm{find}\:\mathrm{the}\:\mathrm{original} \\ $$$$\mathrm{question}\:\mathrm{but}\:\mathrm{i}\:\mathrm{got}\:{x}\notin\mathbb{R}. \\ $$$$\mathrm{Please}\:\mathrm{check}.\:\mathrm{I}\:\mathrm{will}\:\mathrm{also}\:\mathrm{recheck}. \\ $$$$\mathrm{Thanks}.…

Question-187274

Question Number 187274 by normans last updated on 15/Feb/23 Commented by normans last updated on 15/Feb/23 $${suppose}\:{point}\:\boldsymbol{{P}}\:{are}\:{in}\:\bigtriangleup\boldsymbol{{ABC}} \\ $$$${then}\:{the}\:{bisector}\:\angle\boldsymbol{{BPC}},\angle\boldsymbol{{CPA}},\:\angle\boldsymbol{{APB}} \\ $$$${cut}\:{the}\:{sides}\:\boldsymbol{{BC}},\boldsymbol{{CA}}\:{and}\:\boldsymbol{{AB}}\:\:{each}\:{on}\:{point}\:\boldsymbol{{X}},\boldsymbol{{Y}}\:{and}\:\boldsymbol{{Z}}. \\ $$$${show}\:{that}\:\boldsymbol{{AX}},\boldsymbol{{BY}}\:\:{and}\:\boldsymbol{{CY}}\:{is}\:{a}\:{kongruen}. \\ $$$$…