Question

Use the Pythagorean theorem to find the third side of the triangle.​

Answer 1

Answer:

9.2 (1DP)

Step-by-step explanation:

1. First you do 10^2 which is 10 X 10 = 100
2. Then you do 4^2 which is 4 X 4 = 16
3. Then you do 100 - 16. The way Ive learnt it is that if the hypotenuse isn't the one you have to find then minus of it it is then plus. So 100 - 16 = 84
4. A^2 + B^2 = C^2 84 is C^2 meaning now you have to square root it
5. Square root of 84 is 9.2 to 1 DP

Answer 2

Answer:

$\huge\boxed{2\sqrt{21}\approx9.17}$

Step-by-step explanation:

$\text{The Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have:}\\\\leg=4,\ hypotenuse=10\\\\\text{Substitute:}\\\\4^2+leg^2=10^2\\\\16+leg^2=100\qquad\text{subtract 16 from both sides}\\\\16-16+leg^2=100-16\\\\leg^2=84\to leg=\sqrt{84}\\\\leg=\sqrt{(4)(21)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\leg=\sqrt4\cdot\sqrt{21}\\\\leg=2\sqrt{21}$