Answer:
x=34
Step-by-step explanation:
1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>
2. a=30 and b=16, so (30)^2+(16)^2=c^2
3. (30)^2=900 and (16)^2=256
4. 900+256=1156
5. 1156=c^2
6.
7. the square root of 1156 is 34, so c=34
8. The missing side of the triangle, labeled as "x<em>"</em> is 34
Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.
As per that diagram, (which is given)
and we know that (vertically opposite angles).
Thus, the only way ΔDSB ≅ ΔTSR by SAS is when as indicated in the diagram.
Thus, is the correct answer.
