math exercises

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Knowing that in the right triangle ABC shown in the picture b = 1 and c = 2, find x.

a) b) c)
d) e)


 


The measure of the two legs of the right triangle T are, respectively, 12 cm and 5 cm each, so the length of the altitude to the hypotenuse of T is:

a) cmb) cmc) cm
d) cme) cm


 


In the picture below, ABFG and BCDE are squares and their each one sides measures, respectively, a and b. Knowing that and the perimeter of the triangle ACG is 12, we can assure that a e b are both inside the interval:

a) ]1; 5[b) ]0; 4[c) ]2; 6[
d) ]3; 7[e) ]4; 8[


 


If the length of the legs of a right triangle are and , the length of the hypotenuse is:

a) b) c) d)
e)


 


The lantern shown in the picture is suspended by two strings perpendicular to each other. Knowing the length of each string is 1/2 and 6/5 , respectively, what is the distance between the lantern and the ceiling?

a) 1,69b) 1,3c) 0,6
d) 1/2 e) 6/13