in a right angled triangle isosceles triangle , the square of the hypotenuse is 200 sq.m. find the perimeter of the triangle.
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Answer:
For a right angled isosceles triangle, length of base and height should be equal.
Let Base =Height= x
Given : Hypotenuse²=200m²
Now, using Pythagoras Theorem,
Hypotenuse² = Height ² + base2
= 200 = x² + x²
=200 = 2x²
= x²= 100
=x= √100
=x=10
i.e., Base=10m
Height = 10m
Hypotenuse = √200m²
=10√2m
=10×1.414m
= 14.14m
Now, perimeter of triangle
= sum of its sides
=10m+10m+14.14m
=34.14 m
Correct me if I'm wrong.
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0
Answer:
34.14
Step-by-step explanation:
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