If the right angled triangle t, with sides of length a and b and hypotenuse of length c, has area equal to c2/4, what kind of triangle is this?Question 9Select one:a.scalene triangleb.obtuse trianglec.isosceles triangle
Question
If the right angled triangle t, with sides of length a and b and hypotenuse of length c, has area equal to c2/4, what kind of triangle is this?Question 9Select one:a.scalene triangleb.obtuse trianglec.isosceles triangle
Solution
The area of a right-angled triangle is given by the formula 1/2 * base * height. In this case, the base and height are the two sides of the triangle, a and b, and the hypotenuse is c.
The area of the triangle is given as c^2/4.
So, 1/2 * a * b = c^2/4.
Multiplying both sides by 4, we get 2ab = c^2.
But in a right-angled triangle, by Pythagoras theorem, the square of the hypotenuse (c^2) is equal to the sum of
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