Question
Download Solution PDFWhat is the measure of the two equal angles of a right isosceles triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Angle sum property: The sum of angles of a triangle is 180°
Calculation:
Here, we have to find the measure of the two equal angles of a right isosceles triangle.
Let Δ ABC be a right isosceles triangle with ∠ B = 90° and AB = BC.
As we know, the angles opposite to equal sides are also equal.
⇒ ∠ACB = ∠BAC = x
Now by angle sum property, we have
⇒ x + x + 90° = 180°
⇒ x = 45°
Hence, the measure of the two equal angles of a right isosceles triangle is 45°.
Key Points
In a right isosceles triangle, one angle will be 90° and the other two sides will be equal.
The angles opposite to equal sides will also be equal.
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