In ∆ABC, ∠A is a right angle and m∠B=45. How long is side BC if AB+AC=16?*8√2 units4√2 units16√2 units2√2 units
Question
Solution 1
The problem is a right triangle where one of the angles is 45 degrees. In a 45-45-90 triangle, the sides are in the ratio of 1:1:√2.
Given that AB + AC = 16, and AB = AC (since ∠B = 45°, it's an isosceles right triangle), we can set up the equation 2AB = 16. Solving for AB gives us AB = 8.
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