find the area of a right angled triangle with hypotenuse 26 cm and a side of length 24 cm
Answers
Answered by
3
Answer:
area of triangle = 1/2 × base × height
= 1/2 × 24× 26
= 312cm square .
Answered by
18
Given:
- Side of the triangle is 24cm.
- Hypotenuse of the triangle is 26cm.
To find:
- Area of triangle?
Solution:
• Let's consider ABCD is an triangle.
Where,
- Side = perpendicular = 24cm
- Hypotenuse = length = 26cm
• Let height of the triangle be h.
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, By using Pythagoras theorem,
→ h² = p² + b²
→ (26)² = (24)² + (b)²
→ 676 = 576 + (b)²
→ (b)² = 676 - 576
→ √b² = √100
→ b = 10cm
⠀⠀━━━━━━━━━━━━━━━━━━⠀
« Now, Let's find area of the triangle,
→ Area = 1/2 × b × h
→ 1/2 × 24 × 10
→ 1 × 12 × 10
→ 120cm²
∴ Hence, Area of the triangle 120cm².
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