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Help please quickly!!!!!!1

Help please quickly!!!!!!1-example-1
User Tao Nhu
by
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1 Answer

9 votes

Answer:


9

Explanation:

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 + (√(19))^2 = (100)^2\\\\a^2 + 19 = 100

Inverse operations,


a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = √(81)\\\\a = 9

User ChaseTheSun
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