PLEASE HELP! 25 POINTS + BRAINLIEST FOR BOTH QUESTIONS ANSWERED!

1. Evaluate.
√169
Enter your answer in the box.

2. Drag and drop the responses into the boxes to correctly complete the statements.
Proving the converse of the Pythagorean theorem means proving that if the -blank- of the squares of the lengths of the -blank- sides of a triangle equals the square of the length of the -blank- side, then the triangle is a right triangle. Options: Shorter, longest, product, sum, square, similar, congruent.

see below

Step-by-step explanation:

sqrt(169) = ±13

13*13 = 169

(-13)*(-13) = 169

Proving the converse of the Pythagorean theorem means proving that if the sum of the squares of the lengths of the shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right triangle

a^2 + b^2 = c^2

This is the Pythagorean theorem

a and b are the shorter sides and c is the longer side

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

a .4y4

hope this !