Question

A right triangle can be constructed uniquely if

• A.
  One angle and hypotenuse are given
• B.
  Only hypotenuse is given
• C.
  One side and One acute angle are given
• D.
  One side and angle greater than ${90}^{\circ }$ are given

Answer 1

The correct option is C

One side and One acute angle are given
As we already know that to form a triangle,
(a) either three sides are given,
(b) or two sides and included angle is given ,
(c) or two angles and one included side is given,

And here it is given that, the triangle is a right triangle so this implies one angle is already given and by option (c) we get one another angle and one side.
Hence, a right triangle can be constructed uniquely.

So, this implies option (c) is correct.