Question

What is the length of the hypotenuse of the triangle when x=13

Answer 1

90.80

Explanation:

6x+4

= (6)(13)+4

= 78+4

=82

3x

=(3)(13)

= 39

So we know the sides are 39 and 82

Pythagoras theorem in triangles

= a2+b2= c2

Now, we know the value of a and B but not c (the hypotenuse)

Therefore,

c2 = (39)^2 + (82)^2

= 1521+ 6724

= 8245

so, c = √8245

= 90.80 unitd

Answer 2

The length of the hypotenus of the triangle is 90.80

When x = 13

The lengths of the triangle are ;

• 6x + 4 = 6(13) + 4 = 82
• 3x = 3(13) = 39

The length of the hypotenus;

Hypotenus = √82² + 39²

Hypotenus = 90.80

The length of the hypotenus of the triangle is 90.80