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Prove that Two right triangles are congr...

Prove that Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and one side of the other triangle.

Text Solution

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In `/_\ABC` and `/_\DEF`,
Hypotenuse is equal in both the two right triangles.
`AC=DF`
One side of the triangle is equal to the other side of the triangle. Let us assume that the two sides are equal.
`AB=DE`
The two triangles are right angled so both the triangles have 90 degree in common.
` /_ABC=/_DEF`
...
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Knowledge Check

  • Find the area of a right triangle with hypotenuse of 10 and side of 8

    A
    5
    B
    24
    C
    40
    D
    48
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