Answer:
x = 37 mm
Step-by-step explanation:
Since they are both right triangles, you can use Pythagorean Theorem to solve this.
Step 1: Start with the small triangle and solve for the missing leg.
5² + L² = 13² (plug in the given sides)
25 + L² = 169 ( simplify, 5² = 25, 13² = 169)
L² = 144 ( subtract 25 from both sides to isolate L²)
L = 12 (take the square root of both sides)
So the missing leg on both triangles is 12.
Step 2: We can now solve for x
12² + 35² = x² (plug in the given sides)
144 + 1,225 = x² ( simplify, 12² = 144, 35² = 1,225)
1,369 = x² (simplify, 144 + 1,225 = 1,369)
37 = x (take the square root of both sides)
