Maths-
General
Easy
Question
In a right-angle triangle, if the length of the hypotenuse is 425, and length of the base is 304. Find the length of the height of the triangle.
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: Hence, the height of the triangle is 297 units.
Here, Length of base(b) = 304 units
Length of hypotenuse(d) = 425 units
Let’s say that the length of perpendicular is h units
Using Pythagoras theorem
d2 = h2 + b2
4252 = h2 + 3042
h2 = 4252 - 3042
Final Answer:
Hence, the height of the triangle is 297 units.
Final Answer:
Hence, the height of the triangle is 297 units.
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