Right-angled 80745

The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.

Correct answer:

S2 =  9.6 mm2

Step-by-step explanation:

S1=60 mm2 k=10 mm S1 = 2k m m=2 S1/k=2 60/10=12 mm  w=2.5  k:r= w l:s= w m:t= w  r=k/w=10/2.5=4 mm t=m/w=12/2.5=524=4.8 mm  S2=2r t=24 4.8=548=9.6=9.6 mm2   Verifying Solution:   S3=S1/w2=60/2.52=548=9.6 m2



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