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A right triangle has legs in the ratio 3:4 and hypotenuse 35 cm.
A second right triangle has the same hypotenuse and a leg of 21 cm. Are the two triangles congruent by RHS?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • AYes, the legs are 21 and 28 in both
  • BNo, the second has different legs
  • CCannot be determined
  • DOnly if the third angle is given

Step-by-Step Solution

Legs 3 and 4 with give , legs 21 and 28. The second triangle has hypotenuse 35 and leg 21, so by RHS (right angle, hypotenuse 35, leg 21) the triangles are congruent.
Answer: A) Yes, the legs are 21 and 28 in both

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