As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; ( $a^2 + b^2 = c^2$ ), where ( $a$ ) and ( $b$ ) are the legs of the right triangle, or the sides adjacent to the right angle. ( $c$ ) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that ( $a$ ) represents the unknown leg (side).

$a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100$

Inverse operations,

$a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9$

8 0

2 years ago

I will give Brainliest if you answer these 4 questions!!!!

masya89 [10]

Okay so
#1
4 for 5 would mean each single M&M is 1.25 (5/4)
9 for 25 would mean each single M&M is about 2.78 (25/9)
4 for 5 is the better deal

#2
10 for 35 is 3.50 each (35/10)
12 for 40 is about 3.34 each (40/12)

#3
85 divided by four is 21.25 meaning you'd spend about 22 cents each
the hardware store has a better deal seeing as 19 cents each is cheaper

#4
so 13 divided by 1.4 is about 9.3 so Raisin Bran has less sugar per ounce of cereal

4 0

2 years ago