Find the length of FD.

Find the Area of the Isosceles Triangle.

Find the missing length.

Find the Perimeter.

Pythagoras Theorem

Reveal Answer

Next Question

a_1 = Random(10, 500)
a_2: round((a_1 * 0.8))
a_3: sqrt(a_1^(2) + a_2^(2))
A = (-3, 4)
B = Point(yAxis)
C = Point(yAxis)
f = Segment(A, B)
g = Segment(B, C)
h = Segment(C, A)
α = Angle(A, B, C)
a = Random(1, 3)
a_4 = If(a ≟ 1, a_1, If[a ≟ 2, a_2, a_3])
D = (4, 4)
E = (8, 4)
F = (8, 2)
G = (4, 2)
i = Segment(D, E)
k = Segment(F, G)
l = Segment(G, D)
H = (14, 2)
I = (17, 4)
J = (20, 2)
m = Segment(H, I)
n = Segment(I, J)
p = Segment(J, H)
b_1 = Random(20, 100)
b_2: round((b_1 * 0.25))
b_3: sqrt(b_1^(2) + b_2^(2))
c_1: (2 * Random[20, 500])
c_2: round((0.67 * c_1))
c_3: sqrt(((0.5 * c_1))^(2) + c_2^(2))
c_4: ((0.5 * c_1) * c_2)
K = (-3, -1)
L = Point(yAxis)
M = Point(yAxis)
N = (-3, -4)
q = Segment(K, L)
r = Segment(L, M)
s = Segment(M, N)
t = Segment(N, K)
d_1 = Random(5, 100)
d_2: sqrt(d_1^(2) + d_1^(2))
text2: "" + (LaTeX[a_2]) + " \; cm"
text3: "" + (LaTeX[a_3]) + " \; cm"
text4: "Answer = " + (LaTeX[a_4]) + " \; cm"
text1: "" + (LaTeX[a_1]) + " \; cm"
text9: "Answer = " + (LaTeX[b_3]) + " \; m"
text6: "" + (LaTeX[b_1]) + " \; m"
text7: "" + (LaTeX[b_2]) + " \; m"
text12: "" + (LaTeX[c_3]) + " \; mm"
text11: "" + (LaTeX[c_1]) + " \; mm"
text13: "Answer = " + (LaTeX[c_4]) + " \; mm²"
O = (11, -1)
P = (15, -1)
Q = (17, -3)
R = (11, -3)
b = Segment(O, P)
c = Segment(P, Q)
d = Segment(Q, R)
e = Segment(R, O)
e_1 = Random(5, 50)
e_2: (1.5 * e_1)
e_3: (0.5 * e_1)
e_4: sqrt(e_3^(2) + e_3^(2))
e_5: e_1 + e_2 + e_3 + e_4
text18: "" + (LaTeX[e_3]) + " \; m"
text16: "" + (LaTeX[e_1]) + " \; m"
text17: "" + (LaTeX[e_2]) + " \; m"
text20: "Answer = " + (LaTeX[e_5]) + " \; m"
j: false
f_1 = Segment(E, F)
text14: "Given the square has diagonal KM = " + d_2 + " m 
Find the length of the side of the square."
text15: "Answer = " + (LaTeX[d_1]) + " \; m"