In the triangle PQR, PQ= 7, QR= 8, and PR= 14. Which is the largest angle?
a.) this cannot be determined
b.) /PRQ
c.) /PQR
d.) /QPR
A N D ! !
Which combination of measurements could form a triangle?
a.) 11m, 21m, 33m
b.) 6m, 9m, 16m
c.) 16m, 24m, 38m
d.) 22m, 28m, 51m

Answer:

the largest angle=<PQR

c.) 16m, 24m, 38m

The largest angle of the triangle is ∠PQR and the measurements of the triangles are 16m, 24m, 38m

A triangle is a three-sided flat figure or polygon with three angles.

A triangle has three vertices, and the internal angles amount to 180°.

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x L x B

For a right angle triangle

From the Pythagoras Theorem ,

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔPQR

Now , the measure of side PQ = 7

The measure of side QR = 8

The measure of side PR = 14

Now , for a triangle , the angle opposite the smallest side of a triangle has the smallest measure.

And , the angle opposite the largest side has the largest measure

So , the angle opposite to the side PR = ∠PQR

Therefore , The triangle's largest angle is ∠PQR

Now , the measure of the sides of the triangles are given and

a + b > c

when a = 16 , b = 24 and c = 38

16 + 24 > 38

40 > 38

Therefore , the measures 16m, 24m, 38m form a triangle

Hence , the triangles are solved

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