Question

the hypotenuse of a right triangle with legs 6 and 8 is
select one:
a. $sqrt{7}$
b. 4
c. 10
d. 18

a triangle can have sides 2,3 and 5.
select one:
true
false

Explanation:

Step1: Apply Pythagorean theorem

For right triangle, $c = \sqrt{a^2 + b^2}$, where $a=6$, $b=8$

Step2: Calculate leg squares

$6^2 = 36$, $8^2 = 64$

Step3: Sum squares and take root

$c = \sqrt{36 + 64} = \sqrt{100} = 10$

Step4: Check triangle inequality

For sides 2,3,5: $2+3=5$, which violates the rule that sum of any two sides > third side.

Answer:

1. c. 10
2. False