Answer:
The side length x=11.40
Step by Step Explanation:
Given:
Two sides of the right angled triangle=7,9
To find:
Side length x
Solution:
Let A,B,C be the sides of the right angled triangle such that
A=9, B=7 and C=?
Side length can be calculated by using Pythagorean Theorem
According to this theorem
![A^(2)+B^(2)=C^(2)](https://img.qammunity.org/2020/formulas/business/middle-school/afsoc3llczms30rfi1idolq3afy7erjtot.png)
Substitute the value of A,B in the above theorem we get
![9^(2)+7^(2)=C^(2)](https://img.qammunity.org/2020/formulas/business/middle-school/tj3jgfiqjlbol3iqc4xol9wcwe3b7chlls.png)
![81+49=C^(2)](https://img.qammunity.org/2020/formulas/business/middle-school/w13edm56wvm2033xfvvy0zkbdhai732zwa.png)
![130=C^(2)](https://img.qammunity.org/2020/formulas/business/middle-school/vqo5xvyhcolvlfd1yy5664elyse0j9vpo3.png)
![C=√(130)](https://img.qammunity.org/2020/formulas/business/middle-school/ruf733z3frdpvah0yszxmy4fxv57nygaml.png)
C=11.4
Result:
Thus the side length x =11.40