Question

Given a hypotenuse of 7 square root 3 in an isosceles right triangle, find the other 2 legs, area, and angle measures. Thanks!

Answer 1

can i use Pythagorean Theorem and do a squared + b squared= 7 square root 3 squared? i got 3 in the end for the other two legs but then i am confused about what type of right triangle it is...it doesn't match a 30-60-90 format or a 45-45-90 format

Answer 2

use pythagoras to find x
area = 1/2 x^2

Answer 3

as its isosceles AND right angled the 2 acute angles are 45 degrees

Answer 4

2x^2 = (7 sqrt3)^2

Answer 5

but the hypotnuse in a 45-45-90 is s square root 2 not 3...

Answer 6

can i use A= .5bh

Answer 7

yep:- but the hypotenuse can be any length you like
it can be written a sqrt2
a can be any positive number

Answer 8

so for length of 2 other legs i got 3 and for area i got 18 does that seem about right?

Answer 9

2x^2 = 49*3 = 147
x^2 = 73.5
x = 8.573 to 3 dec places