+0

# If the area of a triangle is 36 5/6 feet and the base of the triangle is 6 1/2 feet, what is the height?

0
262
2

If the area of a triangle is 36 5/6 feet and the base of the triangle is 6 1/2 feet, what is the height?

Guest Jun 17, 2015

#2
+5

If the area of a triangle is 36 5/6 feet and the base of the triangle is 6 1/2 feet, what is the height?

A = 36 5/6 ft2,        base (b) = 6 1/2           height (h) = ?

$${\mathtt{h}} = {\frac{{\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{36}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{5}}}{{\mathtt{6}}}}\right)}{\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}}$$

$${\mathtt{h}} = {\frac{\left({\mathtt{73}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}{\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}}$$

$${\mathtt{h}} = {\frac{\left({\frac{{\mathtt{442}}}{{\mathtt{6}}}}\right)}{\left({\frac{{\mathtt{39}}}{{\mathtt{6}}}}\right)}}$$

$${\mathtt{h}} = {\frac{{\mathtt{2\,652}}}{{\mathtt{234}}}} \Rightarrow {\mathtt{h}} = {\mathtt{11.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

### h = 11 1/3 ft

Guest Jun 18, 2015
Sort:

#1
+81022
+5

A = (1/2)bh   ...  so.....

36 + 5/6 =  (1/2)(6 + 1/2) h       and 36 + 5/6 =  221/6   and 6 + 1/2  =  13/2   ...so.....

221/6  = (1/2)(13/2) h

221/6  = (13/4) h     multiply both sides by 4/13

(221/6)(4/13)  = h

(221/13)(4/6)  = h

(221/13)(2/3)  = 442 / 39  = 34/3 ft  = h = (11 + 1/3) ft

CPhill  Jun 17, 2015
#2
+5

If the area of a triangle is 36 5/6 feet and the base of the triangle is 6 1/2 feet, what is the height?

A = 36 5/6 ft2,        base (b) = 6 1/2           height (h) = ?

$${\mathtt{h}} = {\frac{{\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{36}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{5}}}{{\mathtt{6}}}}\right)}{\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}}$$

$${\mathtt{h}} = {\frac{\left({\mathtt{73}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}{\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}}$$

$${\mathtt{h}} = {\frac{\left({\frac{{\mathtt{442}}}{{\mathtt{6}}}}\right)}{\left({\frac{{\mathtt{39}}}{{\mathtt{6}}}}\right)}}$$

$${\mathtt{h}} = {\frac{{\mathtt{2\,652}}}{{\mathtt{234}}}} \Rightarrow {\mathtt{h}} = {\mathtt{11.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

### h = 11 1/3 ft

Guest Jun 18, 2015

### 4 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details