Question

The right angle triangle is isoceles.If the square of hypotenuse 98m^2. what is the length of each of its sides
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Answer 1

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

Step-by-step explanation:

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.

Answer 2

If the triangle is isosceles, it's base and height will be equal, because hypotenuse can't be equal to the other sides.

Let Base (B) = a

Then,

Perpendicular (P) = Base (B) = a

Square of Hypotenuse (H²) = 98 m²

H² = 98

(H) ² = (P)²+(B)²

98 = a²+a²

98 = 2a²

98/2 = a²

49 = a²

√49 = a

a = 7 m

Base = 7 m

Perpendicular = 7 m