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Step-by-step explanation:
1) 1 Δ can only be made if the sides are having 3cm exach as the perimeter is 9cm
⇒ 3cm + 3cm+ 3cm = 9cm
2)
Given:-
- PQ = 15cm
- PR = 13cm
- TR = 5cm
- ∠PTR = 90°
To find:-
the perimeter of the Δ PQR.
Solution:-
Before finding the perimeter of ΔPQR
we know that, ΔPQR = ΔPTQ + ΔPTR
BY pythagorean triplet,
PR = (PT)²+(TR)²
13 = (PT)²+(5)²
13 = (PT)²+25
PT = 25-13
PT = 12
perimeter = 13+5+12
⇒ 30cm
Now, perimeter of ΔPTQ
PQ = (PT)²+(TQ)²
15 = (12)²+(TQ)²
15 = 144+ (TQ)²
√TQ = 144-15
√TQ = 129
TQ = 13
PERIMETER = 15+13+12
⇒ 40cm
perimeter of ΔPQR= ΔPTQ+ΔPTR
⇒ 70cm
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