Which pair of triangles can be proven congruent by the HL theorem

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer: Third

Step-by-step explanation:

We know that the HL theorem says that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of any other right triangle then the triangles are said to be congruent.

Among all the pairs of triangles in the picture , only first and third pair are right triangle.

The first pair of triangles can not be proven congruent by the HL theorem because it does not have one congruent legs.

The third pair of triangles can be proven congruent by the HL theorem as they have both hypotenuse and one leg congruent.

Hence, the third pair of triangles can be proven congruent by the HL theorem

You might be interested in

CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$