Question

A triangle and a rectangle have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the rectangle
stands on the base 28 cm. Find the height of the rectangle.


plz answer me fast ​

Answer 1

Answer:

h = 12 cm

Step-by-step explanation:

Semi-perimeter of the ∆ (S) = (26+28+30)/2 = 84/2 = 42

Area of the ∆ = √(42)(42-26)(42-28)(42-30) = √(42*14*16*12) = √112,896 = 336 cm².

Also, the area of the triangle is equal to that of the rectangle. That is, 336 = 28*h => h = 336/28 = 12 cm.

Thus, the height of the rectangle is 12 cm.