Question

Consider triangle QRS. The legs each have a length of 10 units.

Triangle Q R S is shown. Angle Q S R is 90 degrees. The length of Q X is 10 and the length of S R is 10.

What is the length of the hypotenuse of the triangle?

A)5 units
B)5 StartRoot 2 EndRoot units
C)10 units
D)10 StartRoot 2 EndRoot units

Answer 1

Answer:

D) 10 startRoot 2 EndRoot units

Step-by-step explanation:

Let QRS be a right angled triangle in which <S=90°. Then,

QS=10 UNITS (given)

SR=10 UNITS (given)

By Pythagoras theorem,

QR = √{(QS)^2 + (SR)^2} units

QR = √{(10)^2 + (10)^2} units

QR = √{100+100} units

QR = √(200) units

QR = 10√2 units