the hypotenuse of a right triangle is 3.5 metres long one side is 2.5 metre calculate the perimeter correct to centimeters
Answers
Answer:
845 cm
Step-by-step explanation:
Given :
The hypotenuse of a right triangle is 3.5 m long, one side is 2.5 m
To find :
the perimeter of the triangle in cm
Solution :
Let the other side be x cm
we know, 1 m = 100 cm
hypotenuse = 3.5 m = 3.5 × 100 cm = 350 cm
one side = 2.5 m = 2.5 × 100 cm = 250 cm
By Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
350² = 250² + x²
122500 = 62500 + x²
x² = 122500 – 62500
x² = 60,000
x = √(60000)
x ≈ 245 cm
The other side = 245 cm
The perimeter of the triangle is equal to the sum of the lengths of the three sides.
= 350 cm + 250 cm + 245 cm
= 845 cm
Therefore,the required perimeter of the given right angled triangle is 845 cm.
Answer:
8.45 m
Step-by-step explanation:
Using the formulas
P=a+b+a2+b2
c=a2+b2
Solving forP
P=a+c2﹣a2+c2=2.5+3.52﹣2.52+3.52≈8.45m
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