Answer:
13 cm
Step-by-step explanation:
Use Pythagora's theorem to solve for the hypotenuse of the triangle:

Where a and b are the two shorter legs, and c is the hypotenuse.
Replace the values in and solve for c:

Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
3x - 3 = 2x
Add 3 on both sides
3x - 3 + 3 = 2x + 3
3x = 2x + 3
Subtract 2x on both sides
3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3
So, your final answer is x = 3.
Answer:
Step-by-step explanation:
BED is the same angle as AEC
CEB is 180 - 150 (AEC) =30