Question

Help please
find the value ​

Answer 1

Pythagoras theorem can only be used in:

• Right triangles
• Scalene right triangles
• Isosceles right triangles.

Since this is a scalene right triangle, we can use Pythagoras theorem to solve the missing length of the triangle.

• => The formula for Pythagoras theorem is a² + b² = c².

Finding a, b, and c:

• Let "a" be 12 cm and "b" be "t" cm.
• "c" is the largest side of the triangle. This means that "c" is 15 cm, as it is the largest side of the triangle.

Setting up the equation:

• a² + b² = c²
• => 12² + t² = 15²

Simplifying the squares:

• => (12)(12) + t² = (15)(15)

Subtracting (12)(12) both sides:

• => t² = -(12)(12) + (15)(15)
• => t² = -144 + 225
• => t² = 81

Taking a square root both sides:

• => √t² = √81
• => t = ±9

Since the length cannot be negative, the value of t must be positive.

The final answer is...

• t = 9

Answer 2

t = 9 cm

Explanation:

Use Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Given:

• a = 12
• b = t
• c = 15
• a² + b² = c²

⇒ 12² + t² = 15²

⇒ 144 + t² = 225

⇒ t² = 225 - 144

⇒ t² = 81

⇒ t = √81

⇒ t = ±9

⇒ t = 9 only as length is always positive