Question

HURRY 10 POINTS!!!!

Answer 1

`4√(7)`

Explanation:

Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by
`√(2)`.

`(2√(14) )*√(2) = 4√(7)`

Answer 2

`4√(7)`

Explanation:

The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)

Use pythagorean theorem
`a^(2) + b^(2) = c^(2)`. a and b are both the same value

Square root to find c

The answer is then
`√(112)` now we need to simplify it further into radical form

Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112

These numbers are 16 and 7

16 is the perfect square number because when you square root it, it is a clean number... 4!

The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical