Question

Find the length of a third side of a triangle given two sides. please

Answer 1

Answer:  # 4.) 9.4

#5.) 10.2 cm  

#6.) 5 inches .

Step-by-step explanation: Assuming that a right triangle is expected, use the Pythagorean Theorem to calculate the third side: a² + b² = c²

$5^{2}+8^{2}=89$  Then take the square root of 89. A calculator is handy for most of these!

√89 = 9.433981 .  Round to 9.4

$2^{2}+10^{2}=104$

√104 = 10.1980  Round to 10.2 Remember to include the units, cm in the answer.

Memorize this one:

Given side lengths of 3 & 4, the hypotenuse is 5!

3² + 4² = 5²   Called a "Pythagorean Triple"

9 + 16 = 25

The square on the hypotenuse is a perfect square of 5

No calculator necessary, and you are likely to see this ratio in other questions.