A rectangle is inscribed in an isosceles right-angled triangle of two sides each equals to 10cm. One side of the rectangle rests on the hypotenuse and the other two vertices on the two shorter sides. Find the dimensions of the largest rectangle. show full work. a) draw a detailed diagram: b) development of equation in 1 variable: c) domain: d) finding the derivative: e) determine critical points: f) verifying solution(s): g) summary statement