randomperson574
randomperson574 randomperson574
  • 13-01-2023
  • Mathematics
contestada

One of the legs of a right triangle measures 7 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary round to the nearest tenth.

One of the legs of a right triangle measures 7 cm and the other leg measures 17 cm Find the measure of the hypotenuse If necessary round to the nearest tenth class=

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 13-01-2023

Answer:

[tex]\huge\boxed{\sf H=18.4\ cm}[/tex]

Step-by-step explanation:

Given that,

Base = 7 cm

Perpendicular = 17 cm

Hypotenuse = H

Using Pythagoras theorem.

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2\\\\(H)^2=(7)^2+(17)^2\\\\(H)^2=49+289\\\\(H)^2=338\\\\Take \ sqrt \ on \ both\ sides\\\\\sqrt{(H)^2} =\sqrt{338} \\\\H=18.4\ cm\\\\\rule[225]{225}{2}[/tex]

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