Question

Sketch proper figure and write the answers of the following questions.
(i) IfA-B-C and (AC) = 11,
I(BC) = 6.5, then (AB) =?
(ii) IfR-S-T and I(ST) = 3.7,
(RS) = 2.5, then I(RT) =?
(iii) If X - Y - Z and /(XZ) = 377, (XY)= 77, then /(YZ)=?​

Answer 1

Answer:

Step-by-step explanation:

. Given, l(AC) =11, l(BC) = 6.5 l(AC) = l(AB) + l(BC) … [A – B – C]  ∴ 11= l(AB) + 6.5 ∴ l(AB) = 11 – 6.5  ∴ l(AB) = 4.5

ii. Given, l(ST) = 3.7, l(RS) = 2.5 l(RT) = l(RS) + l(ST) … [R – S – T]  = 2.5 + 3.7  ∴ (RT) = 6.2  

iii. l(XZ) = 3√7 , l(XY) = √7 l(XZ) = l(X Y) + l(YZ) … [X – Y – Z]  ∴ 3 √7 ⇒ √7 + l(YZ)  ∴ l(YZ)= 3√7 – √7  ∴ l(YZ) = 2