Area of right angled triangle is 30 sq.cm
. If its smallest side is 5 cm , then find its hypotenuse.
Answers
Answered by
20
The smallest side = Height = 5 cm
The other side = Base = ?
Area of Right Angle Triangle = 30 cm²
Area of Triangle = 1/2 × Base × Height
30 = 1/2 × Base × 5
60 = Base × 5
Base = 60/5 = 12 cm
Now,
By Pythagoras Theorem :
(Height)² + (Base)² = (Hypotenuse)²
(5)² + (12)² = (Hypotenuse)²
25 + 144 = (Hypotenuse)²
169 = (Hypotenuse)²
Hypotenuse = 13 cm
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Answered by
1
Step-by-step explanation:
Area of the triangle=1/2×base×height
30=1/2×5×h
60/5=h
12=h
Now by Pythagoras theorem
HYPOTENUSE^2=b^2+h^2
=25+144
=169
13^2
Hypotenuse=13
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