Answer:
7.1
Step-by-step explanation:
By using Pythagorean theorem, a^2+b^2=c^2, we can find the missing length of the leg. a^2+7^2=10^2. 7 is the leg length given and 10 is the hypotenuse. Then we solve from there.
a^2+49=100
a^2=51
(sqrt)a^2=(sqrt)51
a=7.14142.....
rounded to the nearest tenth is 7.1
Answer:
x = 7.1 to the nearest tenth.
Step-by-step explanation:
Hypotenuse = 10;
Opposite = 7; and
Adjacent = x
Pythagoras rule states that square Hypotenuse side is equal to square Opposite side Plus square Adjacent side, so we solve;
(hyp)² = (opp)² + (adj)². Plug the in:
(10)² = (7)² + (x)²
Evaluate
100 = 49 + x²
subtract 49 from both sides
100 - 49 = 49 - 49 + x²
51 = x²
square root both sides to get rid of the square
√51 = √x², the square cancels the square root
√51 = 7.14
7.14 = x
or x = 7.14 to the nearest tenth.
x = 7.1
Check
(10)² = (7)² + (7.14)²
100 = 49 + 50.97 ( approximately = 51)
100 = 49 + 51
100 = 100.
Hope this helps!
