2. sandy made a reflective sticker for her bicycle in the shape of a triangle. two of the three side lengths were 3 cm and 4 cm.
(a) could the third side of the reflective sticker be 6 cm long? explain your reasoning. if this third side is possible, draw the triangle.
(b) could the third side of the reflective sticker be 1 cm long? explain your reasoning. if this third side is possible, draw the triangle.

(a) We assume the triangle to be a right angle triangle, we can use the Pythagoras theorem to proof whether the third side could be 6 cm. Let say the side of 3cm and 4cm are the two short sides, then


The third side couldn't be 6 for a right angle triangle.
However, if the triangle isn't a right angle, we can construct a scalene triangle of 3cm, 4cm, and 6cm

(b) Similar to part (a), we assume the triangle to be a right-angle triangle, we take the hypotenuse to be 4cm and one shorter side to be 3 cm. Working out the other short side


In conclusion, we can't have a right angle triangle with sides 4cm, 3cm, and 1 cm
We, however, can construct a scalene triangle of sides 4cm, 3cm and 1 cm

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!