∠ABC is a right angle and a:b = 2:3. Find b.
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Step by Step Explanation:
- Since, ∠ABC = 90°, we can say that a + b = 90.
- We have been given that = . Cross multiplying the fractions, we get, 3a = 2b, and on dividing both sides by 3, we get, a = .
- Putting this value of a in a + b = 90, we get, + b = 90, or b = 90. Cross multiplying the fractions again, we get, b = , or b = 54.
- Therefore, the angle b is 54°.