Triangles ABC and DEF are similar triangles. Use this fact to solve the exercise. Round to the nearest tenth. Find the perimeter of triangle ABC.

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Triangles ABC and DEF are similar triangles. Use this fact to solve the exercise. Round to the nearest tenth.  Find the perimeter of triangle ABC.

Befory · Accepted Answer

Concept used: (1) Pythagoras theorem: In a right angle triangle (Hypotenuse)2=(Perpendicular)2+(Base)2 (2) If two triangles are similar, their perimeter have the exact same ratio. In right angle triangle DEF (Hypotenuse)2=(Perpendicular)2+(Base)2 (DE)2=(EF)2+(FD)2 (DE)=(15)2+(6)2 =225+1296 =1521 DE=±1521 =±139 Side can&#039;t be negative so DE =39 By similar triangle property: perimeter of △DEFperimeter of △ABC=DFAC=DEAB=EFBC   perimeter of △DEF=39+36+15=90   perimeter of △DEFperimeter of △ABC=DFAC   90perimeter of △ABC=3612   perimeter of △ABC=90×1236   perimeter of △ABC=30

Triangles ABC and DEF are similar triangles. Use this fact

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