Knr3404idn
Answered

IDNLearn.com offers a reliable platform for finding accurate and timely answers. Our platform provides trustworthy answers to help you make informed decisions quickly and easily.

the perimeter of a right triangle is 24 ft, and one of its legs measures 6 ft. Find the length of the other leg and the hypotenuse.
a) 6 ft, 12ft
b) 5 ft, 13 ft
c) 8 ft, 10 ft
d) 7 ft, 11 ft

The Perimeter Of A Right Triangle Is 24 Ft And One Of Its Legs Measures 6 Ft Find The Length Of The Other Leg And The Hypotenuse A 6 Ft 12ft B 5 Ft 13 Ft C 8 Ft class=

Sagot :

Wilmaralzateidn

Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

[tex]h^2= a^2+b^2.[/tex]

and the perimeter is [tex]P=h+a+b[/tex].

Since P=24 and a=6  we have these equations:

[tex]h^2=36+b^2\\24=h+6+b[/tex]

From the last equation we have [tex]h=18-b[/tex]. Replace h in the first equation we get that

[tex](18-b)^2=36+b^2[/tex]

[tex]18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8[/tex]

and h=18-8=10

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.