The area of a right triangle is 60 sq.cm and one of its perpendicular sides as 8cm. What is the length of the other side?
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Answer:
the length of the other side is 15 cm and 17 cm
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Given :
- Area of right angled triangle = 60 cm²
- Length of perpendicular side = 8 cm
To find :
- Length of other side
According to the question,
Let the base be b
➞ Area of right angled triangle = ½ × base × perpendicular
➞ 60 cm² = ½ × b × 8 cm
➞ 60 cm² = b × 4 cm
➞ 60 cm² ÷ 4 cm = b
➞ 15 cm = b
- So, the base of right angled triangle is 15 cm.
___________________
★ Verification :-
We have,
- Base = 15 cm
- Perpendicular side = 8 cm
➞ Area of right angled triangle = ½ × base × perpendicular
➞ Area of right angled triangle = ½ × 15 cm × 8 cm
➞ Area of right angled triangle = 15 cm × 4 cm
➞ Area of right angled triangle = 60 cm²
- So, the area of the right angled triangle is 60 cm².
Hence, it is verified.
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