Question

Can anyone help with these questions

Answer 1

Q(1)

a² + b² = c²

5² + 1² = (√26)²

25 + 1 = 26

26 = 26

Hence LHS = RHS proved, the triangle is a right angle triangle.

Q(2)

distance formula: $\boxed{\sqrt{(x2- x1 )^2 + (y2 - y1 )^2}}$

using the formula:

$\sqrt{(4- 2 )^2 + (-1 - 3 )^2}$

$\sqrt{4+16}$

$2\sqrt{5}$ ____this is the distance between two points/coordinates.

Q(3)

c² = a² + b²

x² = 7² + 24²

x² = 49 + 576

x² = 625

x = √625

x = 25

[ here the mistake was they took 7 and 24 in the bracket by keeping square outside and added inside both which must and cannot be done ]