Question

If in a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides, then one of the acute angles of the triangle is

Answer 1

Let the three sides of the triangle be

Base= b, Hypotenuse= h and Perpendicular=p  

According to the given question,  

h2= 2(bx p)

b2 +p2= 2(b x p)

(b-p)2 =0

Or b= p

So, from the above conditions, the triangle is isosceles.

And the given angle is 45.

Bevause, b=p. so the angles will be same.

One angle is hypotenuse is 90.

h +b+ p= 180

90+ b+p=180

2b= 180-90

B= 45.

Answer 2

Answer:

b = 45

Step-by-step explanation:

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