1.

t triangle is 7 cm Iess than its 9856. If the hypotenuse is 13 cm, !’Y

Answer»

Let the base be xthen altitude = x-7hypotenuse= 13 cmby ptx2+(x–7)2=132x2+x2+49–14x=1692x2–14x+48–169=02x2–14x–120=0x2–7x–60=0x2–12x+5x–60=0x(x–12)+5(x–12)=0(x–12)(x+5)=0x=12 orx=–5as we know that length of triangle can not be negativebase=x= 2cmaltitude=12–7=5cm



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