Question

Triangles
If b2 = a2 + c2, then triangle ABC is a ........ triangle and B = ..... (2)
Hence,
(a) c2 = .......... (2)
(b) square root b2 - c2 = ........ (2)

Answer 1

Step-by-step explanation:

If b² = a² + c², then triangle ABC is a right angled triangle, and b = √(a²+c²) or hypotenuse of the triangle.

Hence,

(a) c² = b² - a²

(b) √(b²- c²) = a

Note:- All the bold words are the answers to the blanks, and all those blanks are filled with the help of Pythagoras Theorem.

Answer 2

Step-by-step explanation:

If b² = a² + c², then triangle ABC is a right angled triangle, and b = √(a²+c²) or hypotenuse of the triangle.

Hence,

(a) c² = b² - a²

(b) √(b²- c²) = a

Note:- All the bold words are the answers to the blanks, and all those blanks are filled with the help of Pythagoras Theorem.