Question

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

Answer 1

By RHS congruence condition if hypotenuse and one side of one right triangle are equal to hypotenuse and one side of other right triangle then both right triangles are congruent.

In right triangles $$ACB$$ and $$BDA$$

$$AB=AB=5\ cm\cdots\cdots[\text{hypotenuse}]$$

And $$AD=BC=4\ cm\cdots\cdots[\text{sides of right triangles}]$$

So, by $$RHS$$ condition

$$\triangle ADB\cong\triangle BCA$$