Answer:
The value of c is:
Explanation:
Given the right-angled triangle
And we have to determine the value of the hypotenuse 'c'.
c=?
Pythagorean Theorem:
For a right-angled triangle with sides a and b the hypotenuse c
![c=√(a^2+b^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rwzqwkbf9lr7rj5hr098trfnfjpyrhgyqr.png)
![a=68](https://img.qammunity.org/2021/formulas/mathematics/high-school/2qa9bk759l9wmuzlw2e2z7i6p0xr8e0n1b.png)
![b=51](https://img.qammunity.org/2021/formulas/mathematics/high-school/dcyf18wrejzx0myyhfrwqxe9qfruzeztvn.png)
![c=√(68^2+51^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c64u9q1m2ra3gbq6j5sz8l9tampman7hf5.png)
units
Thus, the value of c is:
c=85 units