Question

by
1.8
2. 20
3
14
160. PQRS is a square of side 6cm each and Tis
mid point of QR What is the radius of circle
inscribed in ATSR.
160 291 PQRS
Com
बने अंत
3-√5
3+5
4. 3+√5
3+ √5
161 When was the democracy restored in Chile?
161. Ten​

Answer 1

Answer:

6/(3 + √5)

Step-by-step explanation:

PQRS is a square

QR = 6 cm

QT = TR = 3 cm

RS = 6cm

ST² = TR² + RS²

=> ST² = 3² + 6²

=> ST² = 45

=> ST = 3√5

Radius of Circle inscibled in Δ TSR  = r

(1/2) * TR * RS  = (1/2)(TR + RS + ST) * r

=> (1/2)* 6 * 3 = (1/2)(6 + 3 + 3√5) * r

=> 18/(9 + 3√5)  = r

=>r =   6/(3 + √5)