Answer:
The value of x is 4√5 ⇒ 1st answer
Explanation:
* Lets revise the rules in the right angle triangle when we draw the
perpendicular from the right angle to the hypotenuse
- In triangle ABC
# Angle B is a right angle
# The hypotenuse is AC
# BD ⊥ AC
∴ (AB)² = AD × AC
∴ (BC)² = CD × AC
∴ (BD)² = AD × CD
∴ BD × AC = AB × BC
* Lets use one of these rules to solve the problem
- y is the perpendicular from the right angle to the hypotenuse
- x is one leg of the right angle
∵ The length of the hypotenuse = 5 + 11 = 16 units
∵ The part nearest to x = 5
* Lets use the rule (AB)² = AD × AC
∴ x² = 5 × 16 = 80 ⇒ take √ for both sides
∴ x = √80 = 4√5 units