a right angled triangle is isosceles. If the square of the hypotenuse is 50 m², what is the length of each of its sides
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Given: A right angled triangle is isosceles. If the square of the hypotenuse is 50 m²
To find: What is the length of each of its sides
Solution:
- Now we have given that hypotenuse² = 50.
- Let the base = height = x, then:
- According to the Pythagoras theorem, we have:
height² + base² = hypotenuse²
- Applying this, we get:
x² + x² = 50
2x² = 50
x² = 25
x = 5 m
Answer:
So the length of each side is 5 m.
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