The roof of a schoolhouse is shaped like an isosceles triangle.?

Question

The roof of a schoolhouse is shaped like an isosceles triangle. The base of the triangle measures 8 meters and one side measures 5 meters. Find the altitude.

Answer 1

The height is 3metres

Use pythagoras' theorem. Measure half of the isosceles triangle, you get a right angle triangle, with base 4, hypotenuse 5.
5^2 = 4^ + height^2,
height = SquareRoot(9) = 3

Answer 2

3 meters.

Drawing a line straight down from the top of the triangle with cut the base in half. Half of 8 is 4. With a side of 5 and a base of 4, use a^2+b^2=c^2 to solve with b=4 and c=5.

a^2+16=25
-16 -16
a^2=9
a=3

Answer 3

Since this is an isoceles triangle, the altitude bisects the base (cuts it in half). This gives you a right triangle with hypotenuse 5 and a leg of 4 (half of 8). Take the pythagorean theorum (a^2 + b^2 = c^2) and juggle it to find your other leg. 25-16=b^2; b^2=9, b=3.

Answer 4

Split the base to make it a right-angled triange with a base of 4 metres, and use pythogoras to solve.

5 ^ 2 = 4 ^ 2 + x ^ 2
25 = 16 + x ^ 2
9 = x ^ 2
3 = x

So, 3 metres.

Answer 5

3
Halve the triangle down the centre to leave you with a right angled triangle.
Pythagoras's' rule states that the square of the hypotenuse (25) minus the square of the base or height (in this case 16) = the square of the other side (9). The square root of 9 is 3.
It's the old 3,4,5. triangle trick that builders/engineers know a lot about.

Answer 6

3
It forms a 3:4:5 Triangle

Answer 7

And the teacher has a paddle shaped like a rhomboid. Calculate the attitude.

Answer 8

3 meters.

Answer 9

Yup, it's about 3 metres, son

Answer 10

ohhh smart boy huh??? LOL That is cute though.