∠ABC is a right angle and a:b = 2:3. Find b.
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.
90 × 3 5
- Therefore, the angle b is 54°.
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