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In two right triangles one side an acu...

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.
Let ABC and DEF be two right triangles such that
` /_A=/_D,BC=EF and /_B=/_E=90^0`
Thus, in `/_\`s ABC and DEF`
`/_A=/_D`
`/_B=/_E=90^0`
`BC=EF` So, by AAS congruence criterion, we obtain
`/_\ABC~=/_\DEF`

Text Solution

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Let ABC and DEF be two right triangles such that
` /_A=/_D,BC=EF and /_B=/_E=90^@`
Thus, in `/_\`s ABC and DEF`
`/_A=/_D`
`/_B=/_E=90^@`
`BC=EF` So, by AAS congruence criterion, we obtain
`/_\ABC~=/_\DEF`
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
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  2. In Figure, line segments A B is parallel to another line segment C...

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  15. If two isosceles triangles have a common base, prove that the line j...

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  16. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

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  17. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

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