Answer:
1) x = 12.2
3) x = 21.7
5) x = 17.9
7) x = 31.8
Explanation:
Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)
1) 10^2 + 7^2 = x^2
100 + 49 = x^2
149 = x^2
x = sqrt 149 which is about 12.2
3) 16^2 + x^2 = 27^2
256 + x^2 = 729
x^2 = 473
x = sqrt 473 which is about 21.7
5) 9^2 + x^2 = 20^2
(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)
81 + x^2 = 400
x = sqrt 319 which is about 17.9
7) 16^2 + y^2 = 22^2 (y is the height of the triangle)
256 + y^2 = 484
x = sqrt 228
(sqrt 228)^2 + (44-16)^2 = x^2
228 + 784 = x^2
x^2 = sqrt 1012 which is about 31.8