Please help it would mean a lot to me :)

Mathematics

1 answer:

Luda [366]3 years ago

5 0

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

height^2 + (10/2)^2 = 13^2

height^2 + 25 = 169

height^2 = 144

height = 12

Hope this helps!

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