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Answers
Your Solution:
7. If ∠B = 90°, then the ∆ABC is a Right Angled Triangle or Right triangle.
• AC → Hypotenuse •
By applying Pythagoras Theorem, We get
AC² = AB² + AC²
» AB = √(AC² - AC²)
= √(5² - 4²)
= √(25 - 16)
= √9
= 3 cm
So, The Length of the side AB in ∆ABC is 3cm.
8. ATQ, Consider ABCD as a Rectangle.
Parameters:
AB = CD = 12cm
AC = 13cm
Now, We know that all interior angles in a rectangle is 90°. So, ∠B = 90°.
By using Pythagoras theorem,
BC² = AC² - AB²
» BC = √(13² - 12²)
= √(169 - 144)
= √25
= 5cm
Therefore the length of side BC or AD is 5cm.
Area of the Rectangle ABCD = Length (AB or CD) × Breadth (BC or AD)
= 12 × 5
= 60cm² or 60sq.cm
Perimeter of Rectangle ABCD = 2(l + b)
= 2(12 + 5)
= 2(17)
= 34cm
Note: Please go through the pictures for your understanding.
I hope you got it.
Keep Learning & Keep Growing :)
