jalennataylor23 jalennataylor23
  • 22-02-2021
  • Mathematics
contestada

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We
also know AD = 12 and DB = 3.

In right triangle ABC altitude CD with length h is drawn to its hypotenuse We also know AD 12 and DB 3 class=

Respuesta :

kaurnavneet0524 kaurnavneet0524
  • 01-03-2021

Answer:6

Step-by-step explanation:

Answer Link
MrRoyal
MrRoyal MrRoyal
  • 05-11-2021

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

https://brainly.com/question/19739157

Answer Link

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