Question

in an isosceless triangle the measure of 1 angle is 90 and base = altitude =xm find the length of the hypothuse

Answer 1

in triangle abc
b is 90
base =altitude=xm
:. ab=bc=xm
according to pythagorean theorem
H^2=P^2+B^2
H^2=x^2+x^2
H^2=2x^2
H=√2xm

Answer 2

In Right Angled Isosecles Triangle ABC
Angle C and Angle A are equal since AB=AC
Angle B=90degrees
Angle(A+B+C)=180
Angle A +Angle C= 180-90
2AngleA=90
Angle A= 45 degree=Angle C
Then By Pythagoras Theorem..
AC^2=AB^2+BC^2
AC^2= 2x^2
AC=x rootover 2