Question

An isosceles triangle in which the vertical angle is of measure ________ is called an isosceles right angled triangle.​

Answer 1

Answer:

the correct answer is 90° right angle

Step-by-step explanation:

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Answer 2

Answer :- 90° .

Explanation :-

Isosceles triangle :-

• Two sides are of equal length .
• Since angles opposite sides of a ∆'s are equal in measures , two angles of a Isosceles triangle are equal .

Isosceles right angled triangle :-

• One angle should be equal to 90° . Let vertical angle is equal to 90° .
• Since it is a Isosceles ∆ , rest two base angles are equal .
• Then, 90° + a + a = 180° , 2a = 180° - 90° , a = 45° each .
• Therefore, both base angles are equal to 45° .
• Vertical angle must be equal to 90° .

Hence, An isosceles triangle in which the vertical angle is of measure 90° is called an isosceles right angled triangle.

[ Note :- If we take one of the base angle as 90° , another angle is equal to 90° and sum of both angles is equal to 180° . Then, vertical angle is equal to 0° which is not possible . Therefore, only vertical angle can be equal to 90° in Isosceles right angled triangle . ]

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