Pythagoras Theorem and its Applications
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In the given figure, the value x is
In the given figure of right-angled triangle, we have
YZ2 = YX2 + XZ2 [By Pythagoras theorem]
x2 = 62 + 82
x = 36 + 64 = 100
x = 10
In right angled triangle PQR, which of the following is true?
m2 = l2 + n2
According to the Pythagoras theorem, we have
(Hypotenuse)2 = (Altitude)2 + (Base)2
Therefore, the property, which holds true for given right angled triangle, will be
m2 = l2 + n2
In a right angled triangle, the hypotenuse isMarks:1
the longest side.
Since, opposite side of greater angle is greater in a triangle. Since hypotenuse is opposite side of right angle in triangle so it is the longest side.
ABC is a right angled triangle in which A = 90° and
AB = AC. Find B and C.Marks:1
In ABC, A = 90° and AB = AC Then B = C
According to angle sum property,
A + B + C = 180°
90° + B + C = 180°
90° + 2 B = 180°
2 B = 180° - 90°
B = C = 45°
In a right angled isosceles triangle shown below, what is the value of angle ACO.
Since, it is an Isosceles right angle triangle, so the values of angles other than 90o are 45o each. And angle ACO and angle ACB are forming a linear pair, which means their sum will be 180o and hence the value of angle ACO is 135o.