the area of a right triangle is 150 cm^2 . if its altitude exceeds the base by 5 cm. calculate the perimeter of triangle
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Let it's of length l cm, then altitude = (l + 5)cm
Area of right angled triangle = (1/2)*(altitude)*(base)
=> 150 = (1/2)(l + 5)(l)
=>l² + 5l - 300 = 0
=>l(l + 20) - 15(l + 20) = 0
=>l = 15 cm
Therefore, length of base is 15 cm and altitude is 20 cm
By Pythagoras Theorem,
Hypotenuse =√{(15)² + (20)²}
Hypotenuse= 25 cm
Perimeter= 25 + 15 + 20 = 60 cm
Hope this helps!
Mark as brainliest if it does
Area of right angled triangle = (1/2)*(altitude)*(base)
=> 150 = (1/2)(l + 5)(l)
=>l² + 5l - 300 = 0
=>l(l + 20) - 15(l + 20) = 0
=>l = 15 cm
Therefore, length of base is 15 cm and altitude is 20 cm
By Pythagoras Theorem,
Hypotenuse =√{(15)² + (20)²}
Hypotenuse= 25 cm
Perimeter= 25 + 15 + 20 = 60 cm
Hope this helps!
Mark as brainliest if it does
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