Right-angled 27683

Right-angled triangle XYZ is similar to triangle ABC, which has a right angle at the vertex X. The following applies a = 9 cm, x=4 cm, x =v-4 (v = height of triangle ABC). Calculate the missing side lengths of both triangles.

Correct answer:

b =  8.0415 cm
c =  4.0415 cm

Step-by-step explanation:

a=9 cm x=4 cm  k=a/x=9/4=49=2.25 a2 = b2+c2 x2 = y2+z2  b = c+4  a2=b2+(b4)2  92=b2+(b4)2 2b2+8b+65=0 2b28b65=0  p=2;q=8;r=65 D=q24pr=8242(65)=584 D>0  b1,2=2pq±D=48±584=48±2146 b1,2=2±6.041523 b1=8.041522987 b2=4.041522987  b=b1=8.0415=8.0415 cm

Our quadratic equation calculator calculates it.

c=a2b2=928.04152=4.0415 cm

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