The product of will be
Given expression,
We have to find the product of
Now using distributive property, we get
Hence the product of is
Thus the correct option is (D).
For more details on distributive property follow the link:
In Right Angled Triangle the lengths of the altitude of a hypotenuse is the geometric mean of the lengths of the segments of each of the legs is TRUE
What is a Right angled triangle?
A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that the Hypotenuse2 = Perpendicular2 + Base2.
Let assume a right-angled triangle ABC, right-angled at A.
Let AD be the perpendicular drawn from vertex A on hypotenuse BC, intersecting BC at D.
Now, In right-angle triangle ABC,
By using Pythagoras Theorem, we have
Now, In right-angle triangle ABD
Using Pythagoras Theorem, we have
Now, In right-angle triangle ACD,
On adding equation (2) and (3), we get
Now, using equation (1), the above equation can be rewritten as
can be further rewritten as
AD is geometric mean of BD and CD
Learn more about Right angled triangle from the link below
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