Question 2 - Figure it out - Page 157-159 - Chapter 7 Class 8 - Area (Ganita Prakash II)

Transcript

Question 2 Find the length of the altitude BY.To find BY, we find Area of ∆ ABC using Height AX, Base BC Or Height BY, Base AC Finding Area of ∆ ABC using AX & BC Now, Base = BC = 6 units Height = AX = 4 units Thus, Area of ∆ ABC = 1/2 × Base × Height = 𝟏/𝟐 × BC × AX = 1/2 × 6 × 4 = 6 × 2 = 12 square units Finding Area of ∆ABC using BY & AC Now, Base = AC = 8 units Height = BY = ? Area of ∆ ABC = 12 square units Thus, Area of ∆ ABC = 1/2 × Base × Height Area of ∆ ABC = 𝟏/𝟐 × AC × BY 12 = 1/2 × 8 × BY 12 = 4 × BY 12/4 = BY 3 = BY BY = 3 units