find the area of a right triangle whose hypotenuse 13 cm and one side is 5 cm
Answers
Answered by
4
Answer:
30cm
Step-by-step explanation:
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Answered by
69
Answer:
30 cm²
Given:
- The triangle is a right triangle
- Hypotenuse of the triangle = 13cm
- One side of the triangle is 5cm
To Find:
- Area of the triangle.
Solution:
According to Pythagoras theorem:
( Height)² + ( Base )² = ( hypotenuse )²
⟹ ( 5cm )² + ( Base )² = ( 13 cm )²
⟹ 25 cm² + (Base)² = 169 cm²
⟹ ( Base )² = 169cm² - 25cm²
⟹ ( Base )² = 144 cm²
⟹ Base = √( 144 cm² )
⟹ Base = 12 cm
The other side of the triangle is 12cm
Area of a right triangle :
⟹ 1/2 × Base × Height
⟹ 1/2 × 12cm × 5cm
⟹ 6cm × 5cm
⟹ 30 cm²
The area of the triangle is 30cm²
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