Question

PYTHAGORAS HELP ME PLEASE

Answer 1

Answer:

AC = 13.9 cm.

Step-by-step explanation:

See the attached diagram.

Draw a perpendicular on AD from B which is BE.

Now, CD = BE

Now, Δ ABE is a right triangle and

AB² = BE² + AE² {Applying Pythagoras Theorem}

⇒ 11² = BE² + (AD - DE)²

⇒ 11² = BE² + (11 - 4)² {Since CB = DE = 4 cm}

⇒ 11² = BE² + 7²

⇒ BE² = 11² - 7² = 72

⇒ CD² = 72

Now, Δ ACD is a right triangle and

AC² = CD² + DA²  {Applying Pythagoras Theorem}

⇒ AC² = 72 + 11² = 193

⇒ AC = 13.89 ≈ 13.9 cm