In a ∆RST, Z is a point on side ST and SZ = ZT. If ∠RZS = 90 degree and RS = 10 cm, then what is the value of RT?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10 cm.
Since SZ = ZT, triangle SZT is an isosceles right triangle, so ∠ZST = ∠ZTS = 45°.
In right-angled triangle RZS, apply Pythagoras' theorem:
RS2 = RZ2 + SZ2
100 = RZ2 + SZ2
Since SZ = ZT, RT = RS = 10 cm