The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary. legs: 28 in. and 15 in.
A. 31.8 in.
B. 37.5 in.
C. 23.6 in.
D. 29.6 in.
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary. legs: 28 in. and 15 in.
A. 31.8 in.
B. 37.5 in.
C. 23.6 in.
D. 29.6 in.
Step-by-step explanation:
Length of third side
[tex]= \sqrt{ {24}^{2} + {16}^{2} } \\ = \sqrt{576 + 256} \\ = \sqrt{832} \\ = 28.84 \\ \approx \: 28.8 \: in[/tex]
Or
Length of third side
[tex]= \sqrt{ {24}^{2} - {16}^{2} } \\ = \sqrt{576 - 256} \\ = \sqrt{320} \\ = 17.8885438 \\ \approx \: 17.9 \: in[/tex]
The answer is 32
Step-by-step explanation:
[tex]a^{2}= b^{2} + c^{2}[/tex]
[tex]a= \sqrt[2]{a^{2} +c^{2} }[/tex]
[tex]a= \sqrt[2]{20^{2} +25^{2} }[/tex]
[tex]a= \sqrt[2]{1025 }[/tex]
a = 32.02
it's B 28.8 in
Step-by-step explanation:
The answer is C. 28.8 in
Step-by-step explanation:
Given a=16 and b=24,
c = 28.84441 = 8√13
∠α = 33.69° = 33°41'24" = 0.588 rad
∠β = 56.31° = 56°18'36" = 0.98279 rad
h = 13.3128
area = 192
perimeter = 68.84441
inradius = 5.57779
circumradius = 14.42221 = 4√13
The answer is 50.2 m
Step-by-step explanation:
Given a=34 and b=37,
c = 50.24938
∠α = 42.58° = 42°34'50" = 0.74317 rad
∠β = 47.42° = 47°25'10" = 0.82763 rad
h = 25.03514
area = 629
perimeter = 121.24938
inradius = 10.37531
circumradius = 25.12469
B. 13.2 m
Step-by-step explanation:
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, you can substitute in 9 for a and 16 for c. This puts it at 9^2 + b^2 = 16^2, which equals 81 + b^2 = 256. Subtract 81 from both sides to get b^2 = 175. Take the square root of both sides to get b = sqrt 175. The sqrt of 175 rounded to the nearest tenth is 13.2
Use Pythagorean Theorem:
28^2+15^2=c^2
1009=c^2
Square both sides:
31.8
A
32^2 + x^2 = 38^2
1024 + x^2 = 1444
-1024 -1024
x^2= 420
x=20.493901532
14.6
Explanation:
You need the equation [tex]a^{2} +b^{2} = c^{2}[/tex]
both legs can be "a" or "b" the hypotenuse is "c"
insert what you know in this equation then solve for the unknown.
[tex]34^{2} +b^{2} = 37^{2} \\1156+b^{2} = 1369\\b^{2}=213\\[/tex]
now to cancel out the square you take the square root of both sides giving you: 14.6
A)24.8in
Step-by-step explanation:
17^2 + 18^2 =613
sq root of 613 = 24.758...
24.8in