Question

# A triangle and a parallelogram have the same base and same base and same area. If the sides of the triangle are $$26$$ cm, $$28$$ cm, and $$30$$ cm and the parallelogram stands on the base $$28$$ cm, find the height of the parallelogram.

A
8 cm
B
10 cm
C
12 cm
D
14 cm

Solution

## The correct option is C $$12$$ cmArea of triangle $$=\sqrt{s(s-a)(s-b)(s-c)}$$      $$s=\dfrac{a+b+c}{2}$$$$\Rightarrow s=\dfrac{26+28+30}{2}\Rightarrow s=42$$Area of triangle$$=\sqrt{42\times16\times14\times12}$$                          $$=336$$Area of parallelogram = Area of triangle                    $$\Rightarrow h \times b =336$$                               $$h=\dfrac{336}{28}$$                        $$\Rightarrow h=12$$cmMathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More