Question

Sketch proper figure and write the answers of the following questions.

(i) If A - B - C and l(AC) = 11, l(BC) = 6.5, then l(AB) =?

(ii) If R - S - T and l(ST) = 3.7, l(RS) = 2.5, then l(RT) =?

(iii) If X - Y - Z and l(XZ) = 3 $\sqrt{7}$, l(XY) =$\sqrt{7}$ , then l(YZ) =?

Answer 1

(i)

We have, l(AC) = 11; l(BC) = 6.5.
Now, l(AC) = l(AB) + l(BC)
So, l(AB) = l(AC) − l(BC) = 11 − 6.5
∴ l(AB) = 4.5

(ii)

We have, l(ST) = 3.7; l(RS) = 2.5.
Now, l(RT) = l(RS) + l(ST) = 3.7 + 2.5
∴ l(RT) = 5.6

(iii)

We have, l(XZ) = $3\sqrt{7}$; l(XY) = $\sqrt{7}$.
Now, l(XZ) = l(XY) + l(YZ)
So, l(YZ) = l(XZ) − l(XY) = $3\sqrt{7}$ − $\sqrt{7}$
∴ l(YZ) = $2\sqrt{7}$