3 years ago

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.

Mathematics

1 answer:

Dmitry [639]3 years ago

3 0

Answer:

$Area=\frac{5}{12}x^2$

Step-by-step explanation:

The area of a triangle is given by:

$Area=\frac{1}{2}*base*height$

From the diagram $base=\frac{5}{6}x,and,height=x$

We substitute into the formula to get:

$Area=\frac{1}{2}*\frac{5}{6}x*x$

This implies that:

$Area=\frac{5}{12}x^2$

You might be interested in

An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural. Wh

dmitriy555 [2]

Since there are 6 tubes of red paint and 13 tubes of red paint the ratio of red to white would be 6:13

6 0

2 years ago

HELP ME POR FAVOR PLEASE PLEASEE

Basile [38]

Answer:

$x=8\frac34\ \,,\quad y=8\frac12$

Step-by-step explanation:

$\Delta TRS\sim \Delta LJK \quad\implies\quad \dfrac{|TR|}{|LJ|}=\dfrac{|RS|}{|JK|}=\dfrac{|ST|}{|KL|}\\\\\dfrac{4}{7}=\dfrac{5}{x}=\dfrac{6}{y+2}\\\\\\\dfrac{4}{7}=\dfrac{5}{x}\quad\implies\quad4x=5\cdot7\quad\implies\quad x=\dfrac{35}4=8\frac34\\\\\\\dfrac{5}{x}=\dfrac{6}{y+2}\quad\implies\quad 5(y+2)=6\cdot\dfrac{35}4\\\\5y+10=3\cdot\dfrac{35}2\\\\5y\ =\ \dfrac{3\cdot35}2-10\\ \div5\qquad\quad \div5\\\\y=\dfrac{3\cdot7}2-2=10\frac12-2=8\frac12$