The length od hypotenuse of an isosceles right triangle is 10cm, find its base and height? what is the area of this triangle
Answers
Answered by
0
Answer:
25 sq cm
Step-by-step explanation:
From Pythagoras: h*h = a*a+b*b
As the triangle is isosceles, the non-hypotenuse sides have the same length.
So: h*h = 2*a*a
=> a = root(h*h/2)
The area of the triangle is base * height / 2
So: area = a*a/2
=> root(h*h/2)*root(h*h/2)/2
=> h*h/4
=> 10 * 10 / 4
=> 25 square cm
Hope this is helpful to you : )
Answered by
0
Answer:
x²+x²=10²
2x²=100
x²= 50
x= 5 root 2
s= 1/2x²
s= 1/2 × 50
s= 25
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