Calculate Triangle Height PQ Given Area 30 cm² and Base 4 cm

Question

PRS is a triangle.

The length of side SR is 4 cm.
The area of triangle PSR is 30 cm².

Calculate the height PQ.

00:00 Calculate the height PQ

00:03 Let's examine the size of the sides and lines according to the given data

00:07 We'll use the formula for calculating triangle area

00:15 (height times base) divided by 2

00:20 We'll substitute appropriate values and solve for PQ

00:28 We'll multiply by denominators to eliminate fractions

00:38 Let's isolate PQ

00:54 And this is the solution to the question

We use the formula to calculate the area of the triangle.

Pay attention: in an obtuse triangle, the height is located outside of the triangle!

$\frac{Side\cdot Height}{2}=\text{Triangular Area}$

Double the equation by a common denominator:

$\frac{4\cdot PQ}{2}=30$

$\cdot2$

Divide the equation by the coefficient of $PQ$ .

$4PQ=60$ / $:4$

$PQ=15$

15 cm