Question
Download Solution PDFABC is a right-angle triangle at B and tan A =
ABC is a right-angle triangle at B and tan A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC is a right-angle triangle at B and tan A =
Concept used:
1. tan θ = Height ÷ Base
2. sin θ = Height ÷ Hypotenuse
3. Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Calculation:
tan A =
⇒
⇒ BC : AB = 3 : 4
Let the measure of BC and AB be 3k and 4k respectively.
According to the concept,
AC2 =
Now, sin A + sin B + sin C
⇒
⇒
⇒
⇒
⇒
∴ The value of sin A + sin B + sin C is
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