Given: δpsq, ps = sq pδpsq = 50 sq – pq = 1 find: area of δpsq

120 square units

Step-by-step explanation:

In triangle PSQ, PS=SQ. Let PS=SQ=x units.

Since SQ-PQ=1, PQ=SQ-1=x-1 units.

The perimeter of the triangle PSQ is 50 units, so

PS+SQ+PQ=50 units.

Substitute PS=SQ=x un. and PQ=x-1 un.

x+x+x-1=50

3x=51

x=17

Hence

PS=SQ=17 units,

PQ=16 units.

Use Heron's formula to find the area:

where p is semi-perimeter and a,b,c are lengths of sides.

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