please help meeee: Sally is trying to decide whether this triangle is a right triangle, so she measures the third side. The triangle is RIGHT if the third side measures
(LEG OF TRIANGLE: 5 HYPOTENUSE: 13 FIND X
A) 8 inches. B) 12 inches. C) 18 inches. D) 23 inches.
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class 10 ex 12 solutions
fatu04:
thank you
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Answer:
B) 12 inches.
Step-by-step explanation:
According to pythagorean theorem in a right angle triangle the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides (base and perpendicular).
(hypotenuse)² = (base)² + (perpendicular)²
Given hypotenuse = 13 inches and perpendicular = 5 inches
∴ Base = √(hypotenuse)² - (perpendicular)²
Base = √(13)² - (5)²
= √169 - 25
= √144
= 12
∴ third side of triangle is 12 inches.
Option B is correct.
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