right triangles mnp and qrs are congruent. what is the area of △mnp? 40 m² 60 m² 68 m² 127.5 m²
right triangles mnp and qrs are congruent. what is the area of △mnp? 40 m² 60 m² 68 m² 127.5 m²
Answer
Explanation:
Step1: Recall area formula for right - triangle
The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.
Step2: Identify base and height of $\triangle MNP$
In right - triangle $\triangle MNP$, the legs of the right - triangle can be considered as the base and height. Let $b = 15$ m and $h=8$ m (since congruent triangles have equal corresponding sides and we can match the sides of $\triangle QRS$ to $\triangle MNP$).
Step3: Calculate the area
Substitute $b = 15$ m and $h = 8$ m into the area formula: $A=\frac{1}{2}\times15\times8$. First, $15\times8 = 120$, then $\frac{1}{2}\times120=60$ $m^{2}$.
Answer:
$60$ $m^{2}$