Question

The base and hypotenuse of right triangle are 5 cm and 13 cm tong, find area of the trianlge.​

Answer 1

Given :

• Base of Triangle = 5cm
• Hypothenuse of Triangle = 13cm

To Find :

• Area of Triangle

Solution :

❏ As we know that, Area of a Right Angled Triangle is given by ½ × Perpendicular × Base . Now, in this Question Hypothenuse and Base are given so we will find the Perpendicular of the Triangle then we will find the area of Triangle.

⠀

⟾ Using Pythagoras Theorem :

• (Hypothenuse)² = (P)² + (B)²
• (13)² = (Perpendicular)² + (5)²
• 169 = (Perpendicular)² + 25
• 169 - 25 = (Perpendicular)²
• 144 = (Perpendicular)²
• √144 = Perpendicular
• 12cm = Perpendicular

⠀

⟾ Area of Right Angled Triangle :

• Area = ½ × Perpendicular × Base
• Area = ½ × 12 × 5
• Area = 6 × 5
• Area = 30cm²

Thus Area of Triangle is 30cm²

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Answer 2

Given :

The base and Hypotenuse of right angle traingle are 5 cm and 10 cm long.

To find :

Area of Traingle.

Solution :

We know that

Area of Traingle = 1/2 × Base × Height

= 1/2 × 5 × 12

= 30 cm²

Therefore ,

Area of Traingle is 30 cm²